feat(Topology/Spectral/ConstructibleTopology): the constructible topology on a compact quasi-separated space X equals the topology generated by the constructible subsets of X#40180
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PR summary b9eeed9ae9
|
| File | Base Count | Head Count | Change |
|---|---|---|---|
| Mathlib.Topology.Spectral.ConstructibleTopology | 905 | 909 | +4 (+0.44%) |
Import changes for all files
| Files | Import difference |
|---|---|
Mathlib.Topology.Spectral.ConstructibleTopology |
4 |
Mathlib.Topology.Order.GenerateFromLattice (new file) |
586 |
Declarations diff (regex)
+ closure_eq_latticeClosure
+ compl_image_constructibleTopologySubbasis
+ constructibleTopologySubbasis_subset_isConstructible
+ constructibleTopology_eq_generateFrom_isConstructible
+ empty_mem_constructibleTopologySubbasis
+ generateFrom_latticeClosure
+ latticeClosure_constructibleTopologySubbasis
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
b9eeed9).
- +7 new declarations
- −0 removed declarations
+BooleanSubalgebra.closure_eq_latticeClosure
+compl_image_constructibleTopologySubbasis
+constructibleTopologySubbasis_subset_isConstructible
+constructibleTopology_eq_generateFrom_isConstructible
+empty_mem_constructibleTopologySubbasis
+generateFrom_latticeClosure
+latticeClosure_constructibleTopologySubbasisNo changes to strong technical debt.
Increase in weak tech debt: (relative, absolute) = (1.00, 0.00)
| Current number | Change | Type (weak) |
|---|---|---|
| 5014 | 1 | exposed public sections |
Current commit b9eeed9ae9
Reference commit 6ca518ac72
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
relativevalue is the weighted sum of the differences with weight given by the inverse of the current value of the statistic. - The
absolutevalue is therelativevalue divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).
X is T0, quasi-compact, quasi-separated and prespectral, then X is T2 in the constructible topologyX is T0, quasi-compact, quasi-separated and prespectral, then X is T2 in the constructible topology
plp127
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X is T0, quasi-compact, quasi-separated and prespectral, then X is T2 in the constructible topologyX equals the topology generated by the constructible subsets of X
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Co-authored-by: Christian Merten <christian@merten.dev>
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Co-authored-by: Christian Merten <christian@merten.dev>
Co-authored-by: Christian Merten <christian@merten.dev>
Co-authored-by: Christian Merten <christian@merten.dev>
Co-authored-by: Christian Merten <christian@merten.dev>
Co-authored-by: Christian Merten <christian@merten.dev>
Co-authored-by: Christian Merten <christian@merten.dev>
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Co-authored-by: Christian Merten <christian@merten.dev>
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In this pull request, I have proved that the constructible topology on a compact quasi-separated space
Xequals the topology generated by the constructible subsets ofX. This holds in particular for spectral spaces.