[Merged by Bors] - feat(CategoryTheory/Localization): main results on left calculus of fractions#10607
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[Merged by Bors] - feat(CategoryTheory/Localization): main results on left calculus of fractions#10607
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Co-authored-by: Markus Himmel <[email protected]>
Co-authored-by: Markus Himmel <[email protected]>
Co-authored-by: Markus Himmel <[email protected]>
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…ractions (#10607) In this PR, given a class of morphisms W : MorphismProperty C which admits a left calculus of fractions, we obtain that if `L : C ⥤ D` is a localization functor for W, then morphisms in `D` can be computed using left fractions, and we show that the functor `L.mapArrow : Arrow C ⥤ Arrow D` is essentially surjective. Co-authored-by: Joël Riou <[email protected]>
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…ractions (#10607) In this PR, given a class of morphisms W : MorphismProperty C which admits a left calculus of fractions, we obtain that if `L : C ⥤ D` is a localization functor for W, then morphisms in `D` can be computed using left fractions, and we show that the functor `L.mapArrow : Arrow C ⥤ Arrow D` is essentially surjective. Co-authored-by: Joël Riou <[email protected]>
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…ractions (#10607) In this PR, given a class of morphisms W : MorphismProperty C which admits a left calculus of fractions, we obtain that if `L : C ⥤ D` is a localization functor for W, then morphisms in `D` can be computed using left fractions, and we show that the functor `L.mapArrow : Arrow C ⥤ Arrow D` is essentially surjective. Co-authored-by: Joël Riou <[email protected]>
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…ractions (#10607) In this PR, given a class of morphisms W : MorphismProperty C which admits a left calculus of fractions, we obtain that if `L : C ⥤ D` is a localization functor for W, then morphisms in `D` can be computed using left fractions, and we show that the functor `L.mapArrow : Arrow C ⥤ Arrow D` is essentially surjective. Co-authored-by: Joël Riou <[email protected]>
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In this PR, given a class of morphisms W : MorphismProperty C which admits a left calculus of fractions, we obtain that if
L : C ⥤ Dis a localization functor for W, then morphisms inDcan be computed using left fractions, and we show that the functorL.mapArrow : Arrow C ⥤ Arrow Dis essentially surjective.