Add this suggestion to a batch that can be applied as a single commit.
This suggestion is invalid because no changes were made to the code.
Suggestions cannot be applied while the pull request is closed.
Suggestions cannot be applied while viewing a subset of changes.
Only one suggestion per line can be applied in a batch.
Add this suggestion to a batch that can be applied as a single commit.
Applying suggestions on deleted lines is not supported.
You must change the existing code in this line in order to create a valid suggestion.
Outdated suggestions cannot be applied.
This suggestion has been applied or marked resolved.
Suggestions cannot be applied from pending reviews.
Suggestions cannot be applied on multi-line comments.
Suggestions cannot be applied while the pull request is queued to merge.
Suggestion cannot be applied right now. Please check back later.
The last of the foundational bits for homotopy. The idea is simply that for nice spaces (E.G. locally compact) in the compact-open topology, composition itself is continuous. A couple small notes
X
is unnecessary (munrkes $46, ex. 7). But the proof here is much easier, and it shouldn't matter too much for us in the near future.regular_space
condition is redundant due tolocally_compact_completely_regular + completely_regular_regular
. But those proofs sit innormed_type.v
and need to be moved toseparation_axioms.v
before they can be used. Can be cleaned up later (or as a prerequisite if you think that's more important)Checklist
CHANGELOG_UNRELEASED.md
Reference: How to document
Reminder to reviewers