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@affeldt-aist affeldt-aist commented Nov 25, 2025

Motivation for this change

fixes #1775

define isolated points and properties and refine a lemma about closure

@IshiguroYoshihiro

Checklist
  • added corresponding entries in CHANGELOG_UNRELEASED.md
  • added corresponding documentation in the headers

Reference: How to document

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@affeldt-aist affeldt-aist added this to the 1.15.0 milestone Nov 25, 2025
@affeldt-aist affeldt-aist added the enhancement ✨ This issue/PR is about adding new features enhancing the library label Nov 25, 2025
@affeldt-aist affeldt-aist requested review from t6s and zstone1 November 25, 2025 03:59
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The last commit adds a proof that there is a countable number of isolated points, this is need for a proof by @IshiguroYoshihiro

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affeldt-aist commented Dec 9, 2025

It looks like the introduction of isolated points allowed for a strict improvement of the lemma closure_isolated_limit_point since it replaces a union with a disjoint union and we also have a used for the new lemma countable_isolated (work by @IshiguroYoshihiro ). Do you (@zstone1 , @t6s ) think we are missing something?
(Also, CI errors are unrelated.)

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closure_limit_point can also be expressed as a disjoint union

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