[Merged by Bors] - feat(Topology/PartitionOfUnity): add variations of partition of unity for locally compact T2 space#12266
Closed
yoh-tanimoto wants to merge 77 commits intomasterfrom
Closed
[Merged by Bors] - feat(Topology/PartitionOfUnity): add variations of partition of unity for locally compact T2 space#12266yoh-tanimoto wants to merge 77 commits intomasterfrom
yoh-tanimoto wants to merge 77 commits intomasterfrom
Conversation
5 tasks
PR summary 646d9d61d7
|
| File | Base Count | Head Count | Change |
|---|---|---|---|
| Mathlib.Topology.UrysohnsLemma | 1328 | 1336 | +8 (+0.60%) |
Import changes for all files
| Files | Import difference |
|---|---|
22 filesMathlib.Topology.Category.LightProfinite.EffectiveEpi Mathlib.Condensed.Discrete.Basic Mathlib.Condensed.Light.Explicit Mathlib.Topology.Category.LightProfinite.Extend Mathlib.Condensed.Discrete.Characterization Mathlib.Condensed.Light.CartesianClosed Mathlib.Condensed.Light.TopComparison Mathlib.Condensed.Light.TopCatAdjunction Mathlib.Condensed.Discrete.LocallyConstant Mathlib.Topology.Category.LightProfinite.AsLimit Mathlib.Condensed.Discrete.Module Mathlib.Topology.Category.LightProfinite.Limits Mathlib.Condensed.Light.Epi Mathlib.Condensed.Light.Limits Mathlib.Condensed.Discrete.Colimit Mathlib.Topology.Algebra.ProperAction.ProperlyDiscontinuous Mathlib.Topology.Category.LightProfinite.Basic Mathlib.Topology.Category.LightProfinite.Sequence Mathlib.Condensed.Light.Basic Mathlib.Condensed.Light.Module Mathlib.Topology.Maps.Proper.CompactlyGenerated Mathlib.Condensed.Light.Functors |
5 |
Mathlib.MeasureTheory.Measure.EverywherePos |
7 |
36 filesMathlib.Topology.Category.Stonean.Adjunctions Mathlib.Topology.Category.Stonean.EffectiveEpi Mathlib.Topology.Category.CompHaus.EffectiveEpi Mathlib.Topology.Category.Profinite.CofilteredLimit Mathlib.Condensed.Limits Mathlib.Condensed.TopComparison Mathlib.Topology.Category.Profinite.Nobeling Mathlib.Condensed.Explicit Mathlib.Condensed.Module Mathlib.Topology.Category.Profinite.EffectiveEpi Mathlib.Topology.Category.Profinite.AsLimit Mathlib.Topology.CompletelyRegular Mathlib.Condensed.Basic Mathlib.Condensed.Solid Mathlib.Topology.Category.CompHaus.Basic Mathlib.Topology.Category.CompHaus.Projective Mathlib.Topology.Category.Profinite.Projective Mathlib.Topology.Category.Profinite.Basic Mathlib.Topology.Category.CompHaus.Limits Mathlib.Condensed.TopCatAdjunction Mathlib.Topology.UrysohnsLemma Mathlib.Topology.Category.CompactlyGenerated Mathlib.Topology.Category.Compactum Mathlib.Topology.Category.Profinite.Extend Mathlib.Condensed.CartesianClosed Mathlib.Topology.Compactness.CompactlyGeneratedSpace Mathlib.Topology.Category.Stonean.Basic Mathlib.Topology.Category.Locale Mathlib.Order.Category.Frm Mathlib.Condensed.Epi Mathlib.Condensed.Functors Mathlib.Condensed.Equivalence Mathlib.Topology.Category.Profinite.Product Mathlib.Topology.Category.Profinite.Limits Mathlib.Topology.Order.Category.FrameAdjunction Mathlib.Topology.Category.Stonean.Limits |
8 |
Declarations diff
+ exists_continuous_sum_one_of_isOpen_isCompact
+ exists_continuous_zero_one_of_isCompact'
+ exists_gt_t2space
+ exists_isSubordinate_hasCompactSupport_of_locallyFinite_t2space
+ exists_isSubordinate_of_locallyFinite_of_prop_t2space
+ exists_isSubordinate_of_locallyFinite_t2space
+ exists_subset_iUnion_closure_subset_t2space
+ exists_subset_iUnion_compact_subset_t2space
+ toFun_eq_coe
You can run this locally as follows
## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>
## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>The doc-module for script/declarations_diff.sh contains some details about this script.
No changes to technical debt.
You can run this locally as
./scripts/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).
mathlib-bors bot
pushed a commit
that referenced
this pull request
Nov 12, 2024
…18827) add a predicate `p : Set X → Prop` for `PartialRefinent`. All the existing theorems remain valid by taking `fun _ => True` as `p`. motivation: with this we can require that the refined open set has a compact closure, by taking `fun w => IsCompact (closure w)` as `p`. This can be applied when X is locally compact and T2, and we can obtain a `PartitionOfUnity` for an open cover of a compact set. (This will be done in #12266) This splits from #12266 Co-authored-by: Yoh Tanimoto <57562556+yoh-tanimoto@users.noreply.github.com>
Collaborator
|
This PR/issue depends on: |
YaelDillies
reviewed
Nov 12, 2024
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
This reverts commit 6b03d49.
YaelDillies
approved these changes
Nov 15, 2024
Contributor
YaelDillies
left a comment
There was a problem hiding this comment.
Thanks!
maintainer delegate
|
🚀 Pull request has been placed on the maintainer queue by YaelDillies. |
Member
|
bors d+ |
Contributor
|
✌️ yoh-tanimoto can now approve this pull request. To approve and merge a pull request, simply reply with |
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
Collaborator
Author
|
bors r+ |
Contributor
|
Pull request successfully merged into master. Build succeeded: |
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
10 participants
Add this suggestion to a batch that can be applied as a single commit.This suggestion is invalid because no changes were made to the code.Suggestions cannot be applied while the pull request is closed.Suggestions cannot be applied while viewing a subset of changes.Only one suggestion per line can be applied in a batch.Add this suggestion to a batch that can be applied as a single commit.Applying suggestions on deleted lines is not supported.You must change the existing code in this line in order to create a valid suggestion.Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be applied on multi-line comments.Suggestions cannot be applied while the pull request is queued to merge.Suggestion cannot be applied right now. Please check back later.
add variations of
PartitionOfUnityand Urysohn's lemma:X, for a compact settand a finite family of open sets{s i}such thatt ⊆ ⋃ i, s i, there is a family of continuous function{f i}supported ins i,∑ i, f i x = 1ontand0 ≤ f x ≤ 1.X, for a compact settand a closed setsthat are disjoint, there is a continuous functionfwith compact support which is1ontand0onsandf x Icc (0 : ℝ) 1for allx.The former is formalized as a partition of unity. For this purpose, I extended
PartialRefimentto include a predicatepabout the refined set. With this, we can require that the refined open set has a compact closure. This can be applied whenXis locally compact and T2.These variations are needed in order to prove that rieszContentAux is indeed a Borel measure (following Rudin "Real and complex analysis"), now in #18775.
PartialRefinementsplit from this PR.The part usingnot in this PR anymoreprod_memis suggested by @eric-wieser.