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[Merged by Bors] - feat(topology/category/limits): Generalize Topological Kőnig's lemma #7982

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This PR generalizes the Topological Kőnig's lemma to work with limits over cofiltered categories (as opposed to just directed orders). Along the way, we also prove some more API for the category instance on ulift C, and provide an as_small C construction for a category C.

Coauthored with @kmill


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@adamtopaz adamtopaz added the awaiting-review The author would like community review of the PR label Jun 18, 2021
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Thanks 🎉

bors merge

@github-actions github-actions bot added ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) and removed awaiting-review The author would like community review of the PR labels Jun 21, 2021
bors bot pushed a commit that referenced this pull request Jun 21, 2021
…7982)

This PR generalizes the Topological Kőnig's lemma to work with limits over cofiltered categories (as opposed to just directed orders). Along the way, we also prove some more API for the category instance on `ulift C`, and provide an  `as_small C` construction for a category `C`. 

Coauthored with @kmill 



Co-authored-by: Kyle Miller <kmill31415@gmail.com>
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bors bot commented Jun 21, 2021

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title feat(topology/category/limits): Generalize Topological Kőnig's lemma [Merged by Bors] - feat(topology/category/limits): Generalize Topological Kőnig's lemma Jun 21, 2021
@bors bors bot closed this Jun 21, 2021
@bors bors bot deleted the koenig_generalize branch June 21, 2021 18:49
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4 participants