[Merged by Bors] - refactor(CategoryTheory): simplicial categories are generalized to enriched "ordinary" categories#18175
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[Merged by Bors] - refactor(CategoryTheory): simplicial categories are generalized to enriched "ordinary" categories#18175
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PR summary e3cb0b088eImport changes for modified filesNo significant changes to the import graph Import changes for all files
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dagurtomas
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Oct 29, 2024
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LGTM, but you should probably add some deprecations for the sHom stuff that's removed.
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Ok, fair enough. Thanks! maintainer merge |
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🚀 Pull request has been placed on the maintainer queue by dagurtomas. |
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bors merge |
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…riched "ordinary" categories (#18175) The API for simplicial categories is refactored. It fits more generally in the context of ordinary categories `C` (a type `C` and an instance `[Category C]`) that are also enriched over a monoidal category `V` (`EnrichedCategory V C`) in such a way that types of morphisms in `C` identify to types of morphisms `𝟙_ V ⟶ (X ⟶[V] Y)` in `V`. This defines a new class `EnrichedOrdinaryCategory`, and `SimplicialCategory` is made an abbreviation for the particular case `V` is the category of simplicial sets.
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Pull request successfully merged into master. Build succeeded: |
grunweg
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Nov 2, 2024
…riched "ordinary" categories (#18175) The API for simplicial categories is refactored. It fits more generally in the context of ordinary categories `C` (a type `C` and an instance `[Category C]`) that are also enriched over a monoidal category `V` (`EnrichedCategory V C`) in such a way that types of morphisms in `C` identify to types of morphisms `𝟙_ V ⟶ (X ⟶[V] Y)` in `V`. This defines a new class `EnrichedOrdinaryCategory`, and `SimplicialCategory` is made an abbreviation for the particular case `V` is the category of simplicial sets.
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The API for simplicial categories is refactored. It fits more generally in the context of ordinary categories
C(a typeCand an instance[Category C]) that are also enriched over a monoidal categoryV(EnrichedCategory V C) in such a way that types of morphisms inCidentify to types of morphisms𝟙_ V ⟶ (X ⟶[V] Y)inV. This defines a new classEnrichedOrdinaryCategory, andSimplicialCategoryis made an abbreviation for the particular caseVis the category of simplicial sets.