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[Merged by Bors] - feat(CategoryTheory/Sites): objects which cover the terminal object #8632

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@joelriou joelriou commented Nov 26, 2023

In this PR, given a site (C, J), we introduce the notion of a family of objects Y : I → C which "cover the final object". This notion is used in order to formulate results about global sections of sheaves. It shall also be useful in future PRs in order to formulate descent properties of sheaves.


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@joelriou joelriou added the t-category-theory Category theory label Nov 26, 2023
@joelriou joelriou added the awaiting-review The author would like community review of the PR label Nov 27, 2023
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Thanks 🎉

bors merge

@leanprover-community-mathlib4-bot leanprover-community-mathlib4-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 Dec 27, 2023
mathlib-bors bot pushed a commit that referenced this pull request Dec 27, 2023
…8632)

In this PR, given a site `(C, J)`, we introduce the notion of a family of objects `Y : I → C` which "cover the final object". This notion is used in order to formulate results about global sections of sheaves. It shall also be useful in future PRs in order to formulate descent properties of sheaves.
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mathlib-bors bot commented Dec 27, 2023

Pull request successfully merged into master.

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@mathlib-bors mathlib-bors bot changed the title feat(CategoryTheory/Sites): objects which cover the terminal object [Merged by Bors] - feat(CategoryTheory/Sites): objects which cover the terminal object Dec 27, 2023
@mathlib-bors mathlib-bors bot closed this Dec 27, 2023
@mathlib-bors mathlib-bors bot deleted the cover-top branch December 27, 2023 06:35
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