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ManifoldSubset.separating_open_supersets #31741

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mkoeppe opened this issue Apr 27, 2021 · 0 comments
Open

ManifoldSubset.separating_open_supersets #31741

mkoeppe opened this issue Apr 27, 2021 · 0 comments

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@mkoeppe
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mkoeppe commented Apr 27, 2021

For a finite family of pairwise disjoint compact subsets, separation theorems guarantee the existence of pairwise disjoint open supersets.

We provide a method that returns these open supersets, at least abstractly. In some cases, for example when the restrictions that define the subsets in a common chart are linear inequalities, more concrete constructions are possible.

CC: @egourgoulhon @mjungmath @tscrim

Component: manifolds

Issue created by migration from https://trac.sagemath.org/ticket/31741

@mkoeppe mkoeppe added this to the sage-9.4 milestone Apr 27, 2021
@mkoeppe mkoeppe modified the milestones: sage-9.4, sage-9.5 Jul 19, 2021
@mkoeppe mkoeppe modified the milestones: sage-9.5, sage-9.6 Dec 14, 2021
@mkoeppe mkoeppe modified the milestones: sage-9.6, sage-9.7 Mar 5, 2022
@mkoeppe mkoeppe modified the milestones: sage-9.7, sage-9.8 Aug 31, 2022
@mkoeppe mkoeppe modified the milestones: sage-9.8, sage-9.9 Jan 7, 2023
@mkoeppe mkoeppe removed this from the sage-10.0 milestone Mar 16, 2023
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