Skip to content

[Merged by Bors] - feat(Equicontinuity): equicontinuous family converges on a closed set#6942

Closed
urkud wants to merge 2 commits intomasterfrom
YK-equicont
Closed

[Merged by Bors] - feat(Equicontinuity): equicontinuous family converges on a closed set#6942
urkud wants to merge 2 commits intomasterfrom
YK-equicont

Conversation

@urkud
Copy link
Copy Markdown
Member

@urkud urkud commented Sep 4, 2023

If F : ι → X → α is an equicontinuous family of functions
and f : X → α is a continuous function,
then {x | Tendsto (F · x) l (𝓝 (f x))} is a closed set.


Open in Gitpod

If `F : ι → X → α`` is an equicontinuous family of functions
and `f : X → α` is a continuous function,
then `{x | Tendsto (F · x) l (𝓝 (f x))}` is a closed set.
@urkud urkud added awaiting-review t-topology Topological spaces, uniform spaces, metric spaces, filters labels Sep 4, 2023
@urkud urkud marked this pull request as draft September 4, 2023 06:39
@urkud urkud added awaiting-author A reviewer has asked the author a question or requested changes. and removed awaiting-review labels Sep 4, 2023
@urkud urkud added awaiting-review and removed awaiting-author A reviewer has asked the author a question or requested changes. labels Sep 4, 2023
@urkud urkud marked this pull request as ready for review September 4, 2023 07:05
@sgouezel
Copy link
Copy Markdown
Contributor

sgouezel commented Sep 4, 2023

bors r+
Thanks!

@github-actions github-actions bot added ready-to-merge This PR has been sent to bors. and removed awaiting-review labels Sep 4, 2023
bors bot pushed a commit that referenced this pull request Sep 4, 2023
…#6942)

If `F : ι → X → α` is an equicontinuous family of functions
and `f : X → α` is a continuous function,
then `{x | Tendsto (F · x) l (𝓝 (f x))}` is a closed set.
@bors
Copy link
Copy Markdown

bors bot commented Sep 4, 2023

Pull request successfully merged into master.

Build succeeded!

The publicly hosted instance of bors-ng is deprecated and will go away soon.

If you want to self-host your own instance, instructions are here.
For more help, visit the forum.

If you want to switch to GitHub's built-in merge queue, visit their help page.

@bors bors bot changed the title feat(Equicontinuity): equicontinuous family converges on a closed set [Merged by Bors] - feat(Equicontinuity): equicontinuous family converges on a closed set Sep 4, 2023
@bors bors bot closed this Sep 4, 2023
@bors bors bot deleted the YK-equicont branch September 4, 2023 09:22
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment

Labels

ready-to-merge This PR has been sent to bors. t-topology Topological spaces, uniform spaces, metric spaces, filters

Projects

None yet

Development

Successfully merging this pull request may close these issues.

2 participants