[Merged by Bors] - feat(CategoryTheory): pullbacks/pushouts/limits/colimits of a class of morphisms#20157
[Merged by Bors] - feat(CategoryTheory): pullbacks/pushouts/limits/colimits of a class of morphisms#20157
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PR summary fc37372887Import changes for modified filesNo significant changes to the import graph Import changes for all files
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…operty-coproducts
…f morphisms (#20157) Given `P : MorphismProperty C` and `J` a category, we introduce morphisms properties `P.pullbacks`, `P.pushouts`, `P.limitsOfShape J` and `P.colimitsOfShape J` which are obtained from `P` by taking these type of (co)limits. We obtain results like `P.isStableUnderBaseChange_iff_pullbacks_le : P.IsStableUnderBaseChange ↔ P.pullbacks ≤ P`. Co-authored-by: Jack McKoen <104791831+mckoen@users.noreply.github.com> Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr> Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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…f morphisms (#20157) Given `P : MorphismProperty C` and `J` a category, we introduce morphisms properties `P.pullbacks`, `P.pushouts`, `P.limitsOfShape J` and `P.colimitsOfShape J` which are obtained from `P` by taking these type of (co)limits. We obtain results like `P.isStableUnderBaseChange_iff_pullbacks_le : P.IsStableUnderBaseChange ↔ P.pullbacks ≤ P`. Co-authored-by: Jack McKoen <104791831+mckoen@users.noreply.github.com> Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr> Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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Thanks! bors merge |
…f morphisms (#20157) Given `P : MorphismProperty C` and `J` a category, we introduce morphisms properties `P.pullbacks`, `P.pushouts`, `P.limitsOfShape J` and `P.colimitsOfShape J` which are obtained from `P` by taking these type of (co)limits. We obtain results like `P.isStableUnderBaseChange_iff_pullbacks_le : P.IsStableUnderBaseChange ↔ P.pullbacks ≤ P`. Co-authored-by: mckoen <mckoen@ualberta.ca> Co-authored-by: Jack McKoen <mckoen@ualberta.ca> Co-authored-by: Jack McKoen <104791831+mckoen@users.noreply.github.com> Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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Given
P : MorphismProperty CandJa category, we introduce morphisms propertiesP.pullbacks,P.pushouts,P.limitsOfShape JandP.colimitsOfShape Jwhich are obtained fromPby taking these type of (co)limits. We obtain results likeP.isStableUnderBaseChange_iff_pullbacks_le : P.IsStableUnderBaseChange ↔ P.pullbacks ≤ P.