[Merged by Bors] - feat(CategoryTheory): accessible functors and presentable objects#19937
[Merged by Bors] - feat(CategoryTheory): accessible functors and presentable objects#19937
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PR summary a0b651639aImport changes for modified filesNo significant changes to the import graph Import changes for all files
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Co-authored-by: github-actions[bot] <41898282+github-actions[bot]@users.noreply.github.com>
…into category-theory-accessible
…into category-theory-accessible
…into category-theory-accessible
… category-theory-arrow-cardinal
… category-theory-arrow-cardinal
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Co-authored-by: Markus Himmel <markus@himmel-villmar.de>
Co-authored-by: Markus Himmel <markus@himmel-villmar.de>
Co-authored-by: Markus Himmel <markus@himmel-villmar.de>
Co-authored-by: Markus Himmel <markus@himmel-villmar.de>
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Thanks! bors merge |
…9937) This PR introduces the notions of accessible functors and of presentable objects. An object `X` in a category is `κ`-presentable (for `κ` a regular cardinal) if the functor `Hom(X, -)` commutes with colimits indexed by `κ`-filtered categories. Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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bors cancel |
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bors merge |
…9937) This PR introduces the notions of accessible functors and of presentable objects. An object `X` in a category is `κ`-presentable (for `κ` a regular cardinal) if the functor `Hom(X, -)` commutes with colimits indexed by `κ`-filtered categories. Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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Pull request successfully merged into master. Build succeeded: |
This PR introduces the notions of accessible functors and of presentable objects. An object
Xin a category isκ-presentable (forκa regular cardinal) if the functorHom(X, -)commutes with colimits indexed byκ-filtered categories.Arrow Ais finite iffAis a finite category #19945κ-filtered categories #20005