Skip to content

gen ball_open and prove accessible_space for numFieldType - #2166

Merged
affeldt-aist merged 4 commits into
math-comp:masterfrom
affeldt-aist:metric_20261109
Nov 14, 2026
Merged

affeldt-aist merged 4 commits into
math-comp:masterfrom
affeldt-aist:metric_20261109

Conversation

@affeldt-aist

@affeldt-aist affeldt-aist commented Nov 9, 2026 •

Copy link
Copy Markdown
Member
Motivation for this change

This PR extracts the lemma accessible_field from PR #2022,
put it at the level of metric spaces, and for that purpose provides the lemma ball_open at the level of metric spaces.

So far ball_open was available from pseudoMetricNormedZmodType, but it appears
that its uses can be superseded by the new ball_open.

The version available so far is therefore renamed to pseudo_ball_open to mark the difference.

PS: the changes in function_spaces.v shouldn't be here, they are here by accident, but that's just cosmetics

Checklist
  • appended entries in the relevant sections of 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 likely to be merged as they are into master.
  • PRs with disorganized commits are very likely to be squash-rebased.
Reminder to reviewers

@affeldt-aist affeldt-aist added this to the 1.20.0 milestone Nov 9, 2026
@affeldt-aist affeldt-aist mentioned this pull request Nov 9, 2026
2 tasks done

@nmolinamounier nmolinamounier left a comment •

Copy link
Copy Markdown
Collaborator

Choose a reason for hiding this comment

The reason will be displayed to describe this comment to others. Learn more.

The type of accessible_space should be generalized.

Side note on the relevant separation axioms, to clarify the full breadth of the result (related to #2156): every metric space is perfectly normal Hausdorff which implies all separation axioms currently implemented, including accessible_space. That said, the codomain of metric/norms probably needs to embed into $$\mathbb{R}$$ for the proof of completely_regular_space to work.

affeldt-aist and others added 4 commits November 15, 2026 02:25
Co-authored-by: Neptune MM <neptune.molina--mounier@ens.psl.eu>
Co-authored-by: Marie Kerjean <marie.kerjean@cnrs.fr>
@affeldt-aist
affeldt-aist merged commit c2d64f5 into math-comp:master Nov 14, 2026
50 of 57 checks passed
@affeldt-aist
affeldt-aist deleted the metric_20261109 branch November 14, 2026 21:48
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment

Labels

None yet

Projects

None yet

Development

Successfully merging this pull request may close these issues.

2 participants