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Sorgenfrey line and properties
fixes #1044
Motivation for this change
This PR demonstrates separation axioms. It defines the Sorgenfrey line and proves it totally disconnected. We intend to also prove that it is T6. This topology is mentioned by @zstone1 in the discussion below.
https://github.com/math-comp/analysis/pull/677#pullrequestreview-1133697680
Coauthored-by @garrigue @t6s .
Checklist
- [ ] added corresponding entries in
CHANGELOG_UNRELEASED.md
- [ ] added corresponding documentation in the headers
Reference: How to document
Merge policy
As a rule of thumb:
- PRs with several commits that make sense individually and that all compile are preferentially merged into master.
- PRs with disorganized commits are very likely to be squash-rebased.
Reminder to reviewers
- Read this Checklist
- Put a milestone if possible
- Check labels
BTW, T6 is mentioned in the header of separation_axioms.v, but there does not seem to be a definition for it.