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feat(Topology/Spectral/ConstructibleTopology): if a topological space X is T0 and prespectral, then X is T2 in the constructible topology#40242

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feat(Topology/Spectral/ConstructibleTopology): if a topological space X is T0 and prespectral, then X is T2 in the constructible topology#40242
FMLJohn wants to merge 10 commits into
leanprover-community:masterfrom
FMLJohn:spectralMap_properties

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@FMLJohn

@FMLJohn FMLJohn commented Jun 4, 2026

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In this pull request, I have proved that if a topological space X is T0 and prespectral, then X is T2 in the constructible topology.

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github-actions Bot commented Jun 4, 2026

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PR summary 4dcf431333

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff (regex)

+ t2Space_constructibleTopology₁
+ t2Space_withConstructibleTopology₁

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 4dcf431).

  • +2 new declarations
  • −0 removed declarations
+t2Space_constructibleTopology₁
+t2Space_withConstructibleTopology₁

No changes to strong technical debt.

No changes to weak technical debt.

Current commit 4dcf431333
Reference commit b9a56a66c2

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 Jun 4, 2026
@FMLJohn
FMLJohn temporarily deployed to cache-upload-forks June 4, 2026 21:23 — with GitHub Actions Inactive
@FMLJohn
FMLJohn temporarily deployed to cache-upload-forks June 4, 2026 21:51 — with GitHub Actions Inactive
@FMLJohn
FMLJohn requested review from chrisflav and removed request for chrisflav June 7, 2026 16:48
@FMLJohn FMLJohn changed the title feat(Topology/Spectral/Maps): properties of maps between spectral spaces feat(Topology/Spectral/ConstructibleTopology): if a topological space X is T0, quasi-compact, quasi-separated and prespectral, then X is T2 in the constructible topology Jun 7, 2026
@FMLJohn
FMLJohn temporarily deployed to cache-upload-forks June 7, 2026 17:23 — with GitHub Actions Inactive
@FMLJohn FMLJohn changed the title feat(Topology/Spectral/ConstructibleTopology): if a topological space X is T0, quasi-compact, quasi-separated and prespectral, then X is T2 in the constructible topology feat(Topology/Spectral/ConstructibleTopology): if a topological space X is T0 and prespectral, then X is T2 in the constructible topology Jul 8, 2026
@FMLJohn FMLJohn closed this Jul 8, 2026
@FMLJohn
FMLJohn deleted the spectralMap_properties branch July 8, 2026 19:40
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