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

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@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.


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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 The author would like community review of the PR 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 The author would like community review of the PR labels Sep 4, 2023
@urkud urkud added awaiting-review The author would like community review of the PR 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
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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 The author would like community review of the PR 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.
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Pull request successfully merged into master.

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@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
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