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[Merged by Bors] - feat: generalize OpenPartialHomeomorph.Defs file to PartialHomeomorph#39084

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[Merged by Bors] - feat: generalize OpenPartialHomeomorph.Defs file to PartialHomeomorph#39084
scholzhannah wants to merge 27 commits into
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scholzhannah:PartialHomeomorph1

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@scholzhannah scholzhannah commented May 8, 2026

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Add PartialHomeomorph, which generalises OpenPartialHomoemorph by dropping the condition that the source and target be open. In other words, an OpenPartialHomeomorph is a PartialHomeomorph that additionally has open source and target.
This generalisation should find uses for manifolds (extended charts are PartialHomeomorphs, but their target is not open for manifolds with boundary). For CW complexes, we will want a ClosedPartialHomeomorph: this allows re-using results as much as possible.

This PR adds the basic definitions; future PRs will add additional material: #39071 indicates what the eventual result may be.

Zulip discussion: #mathlib4 > Generalizing `PartialHomeomorph`?


old description:
As discussed on Zulip (#mathlib4 > Generalizing `PartialHomeomorph`?), I renamed PartialHomeomorph to OpenPartialHomeomorph in #29113.
In this PR I now add a new PartialHomeomorph which is a PartialEquiv that is continuous on both source and target. An OpenPartialHomeomorph is then a PartialHomeomorph that additionally has open source and target. In subsequent PRs I will generalize the other files. See this draft PR (#39071) for what I think the end result might be.
PartialHomeomorph should find uses at least for manifolds (ModelWithCorners). Afterwards, I want to add a ClosedPartialHomeomorph to use for CWComplexes.


I don't have a lot of experience doing these kind of modifications of a large piece of code. Additionally, I am not familiar with the main uses of OpenPartialHomeomorph in Mathlib. So while I did this to the best of my abilities, you should read this carefully because there might be things I did wrong or in non-ideal ways.

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PR summary 8748a35de3

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1263 files Mathlib.Algebra.Category.Grp.EnoughInjectives Mathlib.Algebra.Category.Grp.LargeColimits Mathlib.Algebra.Category.Grp.Ulift Mathlib.Algebra.Category.ModuleCat.EnoughInjectives Mathlib.Algebra.Lie.Basis Mathlib.Algebra.Lie.Weights.IsSimple Mathlib.Algebra.Lie.Weights.RootSystem Mathlib.Algebra.Module.CharacterModule Mathlib.Algebra.Module.SpanRankOperations Mathlib.Algebra.Module.StablyFree.FreeOfInvertible Mathlib.Algebra.Module.ZLattice.Basic Mathlib.Algebra.Module.ZLattice.Covolume Mathlib.Algebra.Module.ZLattice.Summable Mathlib.AlgebraicGeometry.EllipticCurve.LFunction Mathlib.AlgebraicGeometry.Group.Abelian Mathlib.AlgebraicGeometry.Group.Smooth Mathlib.AlgebraicGeometry.Morphisms.Etale Mathlib.AlgebraicGeometry.Morphisms.FlatRank Mathlib.AlgebraicGeometry.Morphisms.FormallyUnramified Mathlib.AlgebraicGeometry.Morphisms.LocalFlatDescent Mathlib.AlgebraicGeometry.Morphisms.SmoothFiber Mathlib.AlgebraicGeometry.Morphisms.Smooth 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Mathlib.Probability.Combinatorics.BinomialRandomGraph.Defs Mathlib.Probability.CondVar Mathlib.Probability.ConditionalExpectation Mathlib.Probability.Decision.BayesEstimator Mathlib.Probability.Density Mathlib.Probability.Distributions.Bernoulli Mathlib.Probability.Distributions.Beta Mathlib.Probability.Distributions.Binomial Mathlib.Probability.Distributions.Cauchy Mathlib.Probability.Distributions.Exponential Mathlib.Probability.Distributions.Fernique Mathlib.Probability.Distributions.Gamma Mathlib.Probability.Distributions.Gaussian.Basic Mathlib.Probability.Distributions.Gaussian.CharFun Mathlib.Probability.Distributions.Gaussian.Fernique Mathlib.Probability.Distributions.Gaussian.HasGaussianLaw.Basic Mathlib.Probability.Distributions.Gaussian.HasGaussianLaw.Def Mathlib.Probability.Distributions.Gaussian.HasGaussianLaw.Independence Mathlib.Probability.Distributions.Gaussian.IsGaussianProcess.Basic Mathlib.Probability.Distributions.Gaussian.IsGaussianProcess.Def Mathlib.Probability.Distributions.Gaussian.IsGaussianProcess.Independence Mathlib.Probability.Distributions.Gaussian.Multivariate Mathlib.Probability.Distributions.Gaussian.Real Mathlib.Probability.Distributions.Geometric Mathlib.Probability.Distributions.Pareto Mathlib.Probability.Distributions.Poisson.Basic Mathlib.Probability.Distributions.Poisson.PoissonLimitThm Mathlib.Probability.Distributions.SetBernoulli Mathlib.Probability.Distributions.TwoValued Mathlib.Probability.Distributions.Uniform Mathlib.Probability.HasLawExists Mathlib.Probability.HasLaw Mathlib.Probability.IdentDistribIndep Mathlib.Probability.IdentDistrib Mathlib.Probability.Independence.BoundedContinuousFunction Mathlib.Probability.Independence.CharacteristicFunction Mathlib.Probability.Independence.Conditional Mathlib.Probability.Independence.InfinitePi Mathlib.Probability.Independence.Integrable Mathlib.Probability.Independence.Integration Mathlib.Probability.Independence.Process.HasIndepIncrements.Basic Mathlib.Probability.Independence.Process.HasIndepIncrements.IsGaussianProcess Mathlib.Probability.Independence.Process.HasIndepIncrements Mathlib.Probability.Independence.ZeroOne Mathlib.Probability.Kernel.CompProdEqIff Mathlib.Probability.Kernel.Composition.AbsolutelyContinuous Mathlib.Probability.Kernel.Composition.IntegralCompProd Mathlib.Probability.Kernel.Composition.RadonNikodym Mathlib.Probability.Kernel.CondDistrib Mathlib.Probability.Kernel.Condexp Mathlib.Probability.Kernel.Disintegration.CDFToKernel Mathlib.Probability.Kernel.Disintegration.CondCDF Mathlib.Probability.Kernel.Disintegration.Density Mathlib.Probability.Kernel.Disintegration.Integral Mathlib.Probability.Kernel.Disintegration.StandardBorel Mathlib.Probability.Kernel.Disintegration.Unique Mathlib.Probability.Kernel.Integral Mathlib.Probability.Kernel.IonescuTulcea.Traj Mathlib.Probability.Kernel.MeasurableIntegral Mathlib.Probability.Kernel.Posterior Mathlib.Probability.Kernel.RadonNikodym Mathlib.Probability.Kernel.Representation Mathlib.Probability.Kernel.SetIntegral Mathlib.Probability.Kernel.WithDensity Mathlib.Probability.Martingale.Basic Mathlib.Probability.Martingale.BorelCantelli Mathlib.Probability.Martingale.Centering Mathlib.Probability.Martingale.Convergence Mathlib.Probability.Martingale.OptionalSampling Mathlib.Probability.Martingale.OptionalStopping Mathlib.Probability.Martingale.Upcrossing Mathlib.Probability.Moments.Basic Mathlib.Probability.Moments.ComplexMGF Mathlib.Probability.Moments.CovarianceBilinDual Mathlib.Probability.Moments.CovarianceBilin Mathlib.Probability.Moments.Covariance Mathlib.Probability.Moments.IntegrableExpMul Mathlib.Probability.Moments.MGFAnalytic Mathlib.Probability.Moments.SubGaussian Mathlib.Probability.Moments.Tilted Mathlib.Probability.Moments.Variance Mathlib.Probability.Notation Mathlib.Probability.ProbabilityMassFunction.Binomial Mathlib.Probability.ProbabilityMassFunction.Constructions Mathlib.Probability.ProbabilityMassFunction.Integrals Mathlib.Probability.Process.Adapted Mathlib.Probability.Process.Filtration Mathlib.Probability.Process.FiniteDimensionalLaws Mathlib.Probability.Process.HittingTime Mathlib.Probability.Process.Kolmogorov Mathlib.Probability.Process.LocalProperty Mathlib.Probability.Process.PartitionFiltration Mathlib.Probability.Process.Predictable Mathlib.Probability.Process.Stopping Mathlib.Probability.ProductMeasure Mathlib.Probability.StrongLaw Mathlib.RingTheory.AdicCompletion.AsTensorProduct Mathlib.RingTheory.AdicCompletion.LocalRing Mathlib.RingTheory.DedekindDomain.Different Mathlib.RingTheory.DedekindDomain.LinearDisjoint Mathlib.RingTheory.Etale.Descent Mathlib.RingTheory.Etale.Locus Mathlib.RingTheory.Etale.Weakly Mathlib.RingTheory.Flat.EquationalCriterion Mathlib.RingTheory.Flat.Rank Mathlib.RingTheory.Flat.Tensor Mathlib.RingTheory.Flat.TorsionFree Mathlib.RingTheory.Grassmannian Mathlib.RingTheory.Ideal.Pure Mathlib.RingTheory.KrullDimension.Regular Mathlib.RingTheory.LittleWedderburn Mathlib.RingTheory.LocalProperties.InjectiveDimension Mathlib.RingTheory.LocalRing.Etale Mathlib.RingTheory.LocalRing.Module Mathlib.RingTheory.Perfection Mathlib.RingTheory.Perfectoid.BDeRham Mathlib.RingTheory.Perfectoid.FontaineTheta Mathlib.RingTheory.Perfectoid.Untilt Mathlib.RingTheory.PicardGroup Mathlib.RingTheory.Polynomial.Cyclotomic.Basic Mathlib.RingTheory.Polynomial.Cyclotomic.Eval Mathlib.RingTheory.Polynomial.Cyclotomic.Expand Mathlib.RingTheory.Polynomial.Cyclotomic.Factorization Mathlib.RingTheory.Polynomial.Cyclotomic.Roots Mathlib.RingTheory.Polynomial.Eisenstein.IsIntegral Mathlib.RingTheory.Polynomial.Hermite.Gaussian Mathlib.RingTheory.Polynomial.Selmer Mathlib.RingTheory.RamificationInertia.Basic Mathlib.RingTheory.RamificationInertia.Ramification Mathlib.RingTheory.Regular.ProjectiveDimension Mathlib.RingTheory.RegularLocalRing.Defs Mathlib.RingTheory.RingHom.Etale Mathlib.RingTheory.RingHom.LocallyStandardSmooth Mathlib.RingTheory.RingHom.Smooth Mathlib.RingTheory.RingHom.StandardSmooth Mathlib.RingTheory.RootsOfUnity.AlgebraicallyClosed Mathlib.RingTheory.RootsOfUnity.Complex Mathlib.RingTheory.Smooth.Fiber Mathlib.RingTheory.Smooth.Flat Mathlib.RingTheory.Smooth.IntegralClosure Mathlib.RingTheory.Smooth.Local Mathlib.RingTheory.Smooth.Locus Mathlib.RingTheory.Smooth.NoetherianDescent Mathlib.RingTheory.Smooth.Quotient Mathlib.RingTheory.Smooth.StandardSmoothOfFree Mathlib.RingTheory.Spectrum.Prime.FreeLocus Mathlib.RingTheory.Teichmuller Mathlib.RingTheory.TotallySplit Mathlib.RingTheory.Unramified.LocalRing Mathlib.RingTheory.Unramified.LocalStructure Mathlib.RingTheory.Valuation.Discrete.RankOne Mathlib.RingTheory.Valuation.DiscreteValuativeRel Mathlib.RingTheory.Valuation.RankOne Mathlib.Tactic.ComputeAsymptotics.Lemmas Mathlib.Tactic.ComputeAsymptotics.Multiseries.Basic Mathlib.Tactic.ComputeAsymptotics.Multiseries.Basis 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Mathlib.Topology.Covering.Basic Mathlib.Topology.Covering.Quotient Mathlib.Topology.Covering Mathlib.Topology.EMetricSpace.PairReduction Mathlib.Topology.FiberBundle.Basic Mathlib.Topology.FiberBundle.Constructions Mathlib.Topology.FiberBundle.Trivialization Mathlib.Topology.Homotopy.Lifting Mathlib.Topology.Instances.AddCircle.Defs Mathlib.Topology.Instances.AddCircle.DenseSubgroup Mathlib.Topology.Instances.AddCircle.Real Mathlib.Topology.Instances.CantorSet Mathlib.Topology.IsLocalHomeomorph Mathlib.Topology.MetricSpace.GromovHausdorff Mathlib.Topology.MetricSpace.HausdorffAlexandroff Mathlib.Topology.MetricSpace.HausdorffDimension Mathlib.Topology.MetricSpace.HolderNorm Mathlib.Topology.MetricSpace.Holder Mathlib.Topology.MetricSpace.Kuratowski Mathlib.Topology.MetricSpace.Snowflaking Mathlib.Topology.OpenPartialHomeomorph.Basic Mathlib.Topology.OpenPartialHomeomorph.Composition Mathlib.Topology.OpenPartialHomeomorph.Constructions Mathlib.Topology.OpenPartialHomeomorph.Continuity Mathlib.Topology.OpenPartialHomeomorph.Defs Mathlib.Topology.OpenPartialHomeomorph.IsImage Mathlib.Topology.Sheaves.EtaleSpace Mathlib.Topology.VectorBundle.Basic Mathlib.Topology.VectorBundle.Constructions Mathlib.Topology.VectorBundle.ContinuousAlternatingMap Mathlib.Topology.VectorBundle.FiniteDimensional Mathlib.Topology.VectorBundle.Hom Mathlib.Topology.VectorBundle.Riemannian
1
Mathlib.Topology.PartialHomeomorph.Defs (new file) 618

Declarations diff (regex)

+ PartialHomeomorph
+ Simps.apply
+ Simps.symm_apply
+ _root_.Homeomorph.toPartialHomeomorph
+ _root_.Homeomorph.toPartialHomeomorphOfImageEq
+ bijOn
+ coe_mk
+ coe_mk_symm
+ coe_toPartialEquiv
+ coe_toPartialEquiv_symm
+ coe_toPartialHomeomorph
+ coe_toPartialHomeomorph_symm
+ continuousOn
+ continuousOn_symm
+ eq_symm_apply
+ ext
+ image_source_subset
+ injOn
+ instance : CoeFun (PartialHomeomorph X Y) fun _ => X → Y
+ invFun_eq_coe
+ invOn
+ leftInvOn
+ left_inv
+ map_source
+ map_target
+ mapsTo
+ mapsTo_symm
+ replacePartialEquiv
+ replacePartialEquiv_eq_self
+ rightInvOn
+ right_inv
+ surjOn
+ symm
+ symm_bijective
+ symm_source
+ symm_symm
+ symm_target
+ symm_toPartialEquiv
+ toFun'
+ toFun_eq_coe
+ toPartialEquiv_injective
+ toPartialHomeomorph_injective

You can run this locally as follows
## from your `mathlib4` directory:
git clone https://github.com/leanprover-community/mathlib-ci.git ../mathlib-ci

## summary with just the declaration names:
../mathlib-ci/scripts/pr_summary/declarations_diff.sh <optional_commit>

## more verbose report:
../mathlib-ci/scripts/pr_summary/declarations_diff.sh long <optional_commit>

The doc-module for scripts/pr_summary/declarations_diff.sh in the mathlib-ci repository contains some details about this script.

Declarations diff (Lean)

Lean-aware diff — post-build, computed from the Lean environment (commit 8748a35).

  • +78 new declarations
  • −12 removed declarations
-Homeomorph.toOpenPartialHomeomorphOfImageEq_toPartialEquiv
+Homeomorph.toOpenPartialHomeomorphOfImageEq_toPartialHomeomorph
+Homeomorph.toPartialHomeomorph
+Homeomorph.toPartialHomeomorphOfImageEq
+Homeomorph.toPartialHomeomorphOfImageEq.congr_simp
+Homeomorph.toPartialHomeomorphOfImageEq_apply
+Homeomorph.toPartialHomeomorphOfImageEq_source
+Homeomorph.toPartialHomeomorphOfImageEq_symm_apply
+Homeomorph.toPartialHomeomorphOfImageEq_target
+Homeomorph.toPartialHomeomorphOfImageEq_toPartialEquiv
+Homeomorph.toPartialHomeomorph_apply
+Homeomorph.toPartialHomeomorph_source
+Homeomorph.toPartialHomeomorph_symm_apply
+Homeomorph.toPartialHomeomorph_target
-OpenPartialHomeomorph.IsImage.restr_toPartialEquiv
+OpenPartialHomeomorph.IsImage.restr_toPartialHomeomorph
+OpenPartialHomeomorph.coe_toPartialHomeomorph
+OpenPartialHomeomorph.coe_toPartialHomeomorph_symm
-OpenPartialHomeomorph.continuousOn_invFun
-OpenPartialHomeomorph.continuousOn_toFun
-OpenPartialHomeomorph.ofContinuousOpenRestrict_toPartialEquiv
+OpenPartialHomeomorph.ofContinuousOpenRestrict_toPartialHomeomorph
-OpenPartialHomeomorph.ofContinuousOpen_toPartialEquiv
+OpenPartialHomeomorph.ofContinuousOpen_toPartialHomeomorph
-OpenPartialHomeomorph.pi_toPartialEquiv
+OpenPartialHomeomorph.pi_toPartialHomeomorph
-OpenPartialHomeomorph.piecewise_toPartialEquiv
+OpenPartialHomeomorph.piecewise_toPartialHomeomorph
-OpenPartialHomeomorph.prod_toPartialEquiv
+OpenPartialHomeomorph.prod_toPartialHomeomorph
-OpenPartialHomeomorph.toPartialEquiv
+OpenPartialHomeomorph.toPartialHomeomorph
+OpenPartialHomeomorph.toPartialHomeomorph_injective
-OpenPartialHomeomorph.trans'_toPartialEquiv
+OpenPartialHomeomorph.trans'_toPartialHomeomorph
-PartialDiffeomorph.toOpenPartialHomeomorph_toPartialEquiv
+PartialDiffeomorph.toOpenPartialHomeomorph_toPartialHomeomorph_toPartialEquiv
+PartialHomeomorph
+PartialHomeomorph.Simps.apply
+PartialHomeomorph.Simps.symm_apply
+PartialHomeomorph.bijOn
+PartialHomeomorph.casesOn
+PartialHomeomorph.coe_mk
+PartialHomeomorph.coe_mk_symm
+PartialHomeomorph.coe_toPartialEquiv
+PartialHomeomorph.coe_toPartialEquiv_symm
+PartialHomeomorph.continuousOn
+PartialHomeomorph.continuousOn_invFun
+PartialHomeomorph.continuousOn_symm
+PartialHomeomorph.continuousOn_toFun
+PartialHomeomorph.ctorIdx
+PartialHomeomorph.eq_symm_apply
+PartialHomeomorph.ext
+PartialHomeomorph.ext_iff
+PartialHomeomorph.image_source_subset
+PartialHomeomorph.injOn
+PartialHomeomorph.instCoeFunForall
+PartialHomeomorph.invFun_eq_coe
+PartialHomeomorph.invOn
+PartialHomeomorph.leftInvOn
+PartialHomeomorph.left_inv
+PartialHomeomorph.map_source
+PartialHomeomorph.map_target
+PartialHomeomorph.mapsTo
+PartialHomeomorph.mapsTo_symm
+PartialHomeomorph.mk
+PartialHomeomorph.mk.congr_simp
+PartialHomeomorph.mk.inj
+PartialHomeomorph.mk.injEq
+PartialHomeomorph.mk.noConfusion
+PartialHomeomorph.mk.sizeOf_spec
+PartialHomeomorph.noConfusion
+PartialHomeomorph.noConfusionType
+PartialHomeomorph.rec
+PartialHomeomorph.recOn
+PartialHomeomorph.replacePartialEquiv
+PartialHomeomorph.replacePartialEquiv_eq_self
+PartialHomeomorph.rightInvOn
+PartialHomeomorph.right_inv
+PartialHomeomorph.surjOn
+PartialHomeomorph.symm
+PartialHomeomorph.symm_bijective
+PartialHomeomorph.symm_source
+PartialHomeomorph.symm_symm
+PartialHomeomorph.symm_target
+PartialHomeomorph.symm_toPartialEquiv
+PartialHomeomorph.toFun'
+PartialHomeomorph.toFun_eq_coe
+PartialHomeomorph.toPartialEquiv
+PartialHomeomorph.toPartialEquiv_injective

No changes to strong technical debt.

Increase in weak tech debt: (relative, absolute) = (1.00, 0.00)
Current number Change Type (weak)
4948 1 exposed public sections

Current commit 8748a35de3
Reference commit 7d46b4c5ac

This script lives in the mathlib-ci repository. To run it locally, from your mathlib4 directory:

git clone https://github.com/leanprover-community/mathlib-ci.git ../mathlib-ci
../mathlib-ci/scripts/reporting/technical-debt-metrics.sh pr_summary
  • The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
  • The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

@github-actions github-actions Bot added the t-topology Topological spaces, uniform spaces, metric spaces, filters label May 8, 2026
@grunweg grunweg self-assigned this May 9, 2026

@j-loreaux j-loreaux left a comment

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Thanks Hannah!

Comment thread Mathlib/Topology/OpenPartialHomeomorph/Basic.lean Outdated
Comment thread Mathlib/Topology/OpenPartialHomeomorph/Constructions.lean Outdated
Comment thread Mathlib/Topology/PartialHomeomorph/Defs.lean
Comment thread Mathlib/Topology/PartialHomeomorph/Defs.lean
Comment thread Mathlib/Topology/PartialHomeomorph/Defs.lean Outdated
Comment thread Mathlib/Topology/PartialHomeomorph/Defs.lean Outdated
Comment thread Mathlib/Topology/PartialHomeomorph/Defs.lean Outdated
Comment thread Mathlib/Topology/PartialHomeomorph/Defs.lean Outdated
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@j-loreaux j-loreaux added the awaiting-author A reviewer has asked the author a question or requested changes. label May 16, 2026
@scholzhannah scholzhannah removed the awaiting-author A reviewer has asked the author a question or requested changes. label May 18, 2026
@scholzhannah

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I have now put all the renames in the #39565. Sorry for the giant mess in the commit history, I clearly didn't do the rebase well. Is there any way to clean this mess up now? I hope it magically goes away when the other PR is merged.

@scholzhannah scholzhannah added the blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) label May 19, 2026
@grunweg

grunweg commented May 19, 2026

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I've made a similar git mess myself before. I think you can fix this by doing git reset master and then manually committing everything you want. (Be careful that the master branch on this branch is up to date, or specify the right commit instead of master.) Yael's cheat sheet at the reviewer bootcamp mentions this.

@scholzhannah

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I've made a similar git mess myself before. I think you can fix this by doing git reset master and then manually committing everything you want. (Be careful that the master branch on this branch is up to date, or specify the right commit instead of master.) Yael's cheat sheet at the reviewer bootcamp mentions this.

Thanks a lot! I think I might have fixed it now haha.

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First batch of comments!

Comment thread Mathlib/Topology/FiberBundle/Trivialization.lean Outdated
Comment thread Mathlib/Topology/OpenPartialHomeomorph/Defs.lean Outdated
Comment thread Mathlib/Topology/OpenPartialHomeomorph/Defs.lean
Comment thread Mathlib/Topology/OpenPartialHomeomorph/Defs.lean Outdated
Comment thread Mathlib/Topology/PartialHomeomorph/Defs.lean Outdated

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Remaining comments. Thanks a lot for doing this, I have only minor comments!

Comment thread Mathlib/Topology/PartialHomeomorph/Defs.lean
Comment thread Mathlib/Topology/PartialHomeomorph/Defs.lean Outdated
Comment thread Mathlib/Topology/PartialHomeomorph/Defs.lean Outdated
Comment thread Mathlib/Topology/OpenPartialHomeomorph/Defs.lean
@grunweg grunweg added the awaiting-author A reviewer has asked the author a question or requested changes. label Jun 5, 2026
@scholzhannah scholzhannah removed the awaiting-author A reviewer has asked the author a question or requested changes. label Jun 10, 2026

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Thanks!

bors d+

Comment thread Mathlib/Topology/OpenPartialHomeomorph/Defs.lean Outdated
Comment thread Mathlib/Topology/PartialHomeomorph/Defs.lean Outdated
Comment thread Mathlib/Topology/PartialHomeomorph/Defs.lean Outdated
@mathlib-bors

mathlib-bors Bot commented Jun 16, 2026

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✌️ scholzhannah can now approve this pull request until 2026-06-30 18:47 UTC (in 2 weeks). To approve and merge, reply with bors r+. More detailed instructions are available here.

⚠️ This delegation only covers changes within Archive/**, Counterexamples/**, docs/**, DownstreamTest/**, Mathlib/**, MathlibTest/**, widget/**, Archive.lean, Counterexamples.lean, docs.lean, Mathlib.lean; an author commit touching anything else will revoke it. Bors also revokes it if a later push changes too many files for it to check the full list — even if it stays within scope.

@mathlib-triage mathlib-triage Bot added the delegated This pull request has been delegated to the PR author (or occasionally another non-maintainer). label Jun 16, 2026
mathlib-bors Bot pushed a commit that referenced this pull request Jun 17, 2026
…0717)

The new name avoids a double prime and also matches the naming convention.
As suggested [here](#39084 (comment)).
@scholzhannah

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bors r+

mathlib-bors Bot pushed a commit that referenced this pull request Jun 17, 2026
…rph` (#39084)

Add `PartialHomeomorph`, which generalises `OpenPartialHomoemorph` by dropping the condition that the source and target be open. In other words, an `OpenPartialHomeomorph` is a `PartialHomeomorph` that additionally has open source and target.
This generalisation should find uses for manifolds (extended charts are `PartialHomeomorph`s, but their target is not open for manifolds with boundary). For CW complexes, we will want a `ClosedPartialHomeomorph`: this allows re-using results as much as possible.

This PR adds the basic definitions; future PRs will add additional material: #39071 indicates what the eventual result may be.

Zulip discussion: [#mathlib4 > Generalizing &#96;PartialHomeomorph&#96;?](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Generalizing.20.60PartialHomeomorph.60.3F/with/536896273)
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mathlib-bors Bot commented Jun 17, 2026

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Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors Bot changed the title feat: generalize OpenPartialHomeomorph.Defs file to PartialHomeomorph [Merged by Bors] - feat: generalize OpenPartialHomeomorph.Defs file to PartialHomeomorph Jun 17, 2026
@mathlib-bors mathlib-bors Bot closed this Jun 17, 2026
xroblot pushed a commit to xroblot/mathlib4 that referenced this pull request Jun 18, 2026
…anprover-community#40717)

The new name avoids a double prime and also matches the naming convention.
As suggested [here](leanprover-community#39084 (comment)).
xroblot pushed a commit to xroblot/mathlib4 that referenced this pull request Jun 18, 2026
…rph` (leanprover-community#39084)

Add `PartialHomeomorph`, which generalises `OpenPartialHomoemorph` by dropping the condition that the source and target be open. In other words, an `OpenPartialHomeomorph` is a `PartialHomeomorph` that additionally has open source and target.
This generalisation should find uses for manifolds (extended charts are `PartialHomeomorph`s, but their target is not open for manifolds with boundary). For CW complexes, we will want a `ClosedPartialHomeomorph`: this allows re-using results as much as possible.

This PR adds the basic definitions; future PRs will add additional material: leanprover-community#39071 indicates what the eventual result may be.

Zulip discussion: [#mathlib4 > Generalizing &leanprover-community#96;PartialHomeomorph&leanprover-community#96;?](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Generalizing.20.60PartialHomeomorph.60.3F/with/536896273)
ReemMelamed pushed a commit to ReemMelamed/mathlib4 that referenced this pull request Jun 20, 2026
…anprover-community#40717)

The new name avoids a double prime and also matches the naming convention.
As suggested [here](leanprover-community#39084 (comment)).
ReemMelamed pushed a commit to ReemMelamed/mathlib4 that referenced this pull request Jun 20, 2026
…rph` (leanprover-community#39084)

Add `PartialHomeomorph`, which generalises `OpenPartialHomoemorph` by dropping the condition that the source and target be open. In other words, an `OpenPartialHomeomorph` is a `PartialHomeomorph` that additionally has open source and target.
This generalisation should find uses for manifolds (extended charts are `PartialHomeomorph`s, but their target is not open for manifolds with boundary). For CW complexes, we will want a `ClosedPartialHomeomorph`: this allows re-using results as much as possible.

This PR adds the basic definitions; future PRs will add additional material: leanprover-community#39071 indicates what the eventual result may be.

Zulip discussion: [#mathlib4 > Generalizing &leanprover-community#96;PartialHomeomorph&leanprover-community#96;?](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Generalizing.20.60PartialHomeomorph.60.3F/with/536896273)
bryangingechen pushed a commit to jcommelin/mathlib4 that referenced this pull request Jun 22, 2026
…anprover-community#40717)

The new name avoids a double prime and also matches the naming convention.
As suggested [here](leanprover-community#39084 (comment)).
bryangingechen pushed a commit to jcommelin/mathlib4 that referenced this pull request Jun 22, 2026
…rph` (leanprover-community#39084)

Add `PartialHomeomorph`, which generalises `OpenPartialHomoemorph` by dropping the condition that the source and target be open. In other words, an `OpenPartialHomeomorph` is a `PartialHomeomorph` that additionally has open source and target.
This generalisation should find uses for manifolds (extended charts are `PartialHomeomorph`s, but their target is not open for manifolds with boundary). For CW complexes, we will want a `ClosedPartialHomeomorph`: this allows re-using results as much as possible.

This PR adds the basic definitions; future PRs will add additional material: leanprover-community#39071 indicates what the eventual result may be.

Zulip discussion: [#mathlib4 > Generalizing &leanprover-community#96;PartialHomeomorph&leanprover-community#96;?](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Generalizing.20.60PartialHomeomorph.60.3F/with/536896273)
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3 participants