[Merged by Bors] - feat(Topology/ShrinkingLemma): add a predicate on refined open sets#18827
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yoh-tanimoto wants to merge 6 commits intomasterfrom
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[Merged by Bors] - feat(Topology/ShrinkingLemma): add a predicate on refined open sets#18827yoh-tanimoto wants to merge 6 commits intomasterfrom
yoh-tanimoto wants to merge 6 commits intomasterfrom
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PR summary 83b03acab4Import changes for modified filesNo significant changes to the import graph Import changes for all files
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YaelDillies
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Nov 11, 2024
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
YaelDillies
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Nov 12, 2024
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Thanks!
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🚀 Pull request has been placed on the maintainer queue by YaelDillies. |
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Thanks! bors merge |
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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>
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Pull request successfully merged into master. Build succeeded: |
TobiasLeichtfried
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Nov 21, 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>
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add a predicate
p : Set X → PropforPartialRefinent. All the existing theorems remain valid by takingfun _ => Trueasp.motivation: with this we can require that the refined open set has a compact closure, by taking
fun w => IsCompact (closure w)asp. This can be applied when X is locally compact and T2, and we can obtain aPartitionOfUnityfor an open cover of a compact set. (This will be done in #12266)This splits from #12266