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- Adhesive_category abstract "In mathematics, an adhesive category is a category where pushouts of monomorphisms exist and work more or less as they do in the category of sets. An example of an adhesive category is the category of directed multigraphs, or quivers, and the theory of adhesive categories is important in the theory of graph rewriting.More precisely, an adhesive category is one where any of the following equivalent conditions hold: C has all pullbacks, it has pushouts along monomorphisms, and pushout squares of monomorphisms are also pullback squares and are stable under pullback. C has all pullbacks, it has pushouts along monomorphisms, and the latter are also (bicategorical) pushouts in the bicategory of spans in C.If C is small, we may equivalently say that C has all pullbacks, has pushouts along monomorphisms, and admits a full embedding into a Grothendieck topos preserving pullbacks and preserving pushouts of monomorphisms.".
- Adhesive_category wikiPageExternalLink 1108.2934.
- Adhesive_category wikiPageExternalLink toposesAdhesive.pdf.
- Adhesive_category wikiPageExternalLink 25-07abs.html.
- Adhesive_category wikiPageID "39274656".
- Adhesive_category wikiPageLength "2085".
- Adhesive_category wikiPageOutDegree "11".
- Adhesive_category wikiPageRevisionID "609986127".
- Adhesive_category wikiPageWikiLink Bicategory.
- Adhesive_category wikiPageWikiLink Category:Articles_created_via_the_Article_Wizard.
- Adhesive_category wikiPageWikiLink Category:Category_theory.
- Adhesive_category wikiPageWikiLink Category_(mathematics).
- Adhesive_category wikiPageWikiLink Graph_rewriting.
- Adhesive_category wikiPageWikiLink Monomorphism.
- Adhesive_category wikiPageWikiLink Pullback.
- Adhesive_category wikiPageWikiLink Pushout_(category_theory).
- Adhesive_category wikiPageWikiLink Quiver_(mathematics).
- Adhesive_category wikiPageWikiLink Span_(category_theory).
- Adhesive_category wikiPageWikiLink Topos.
- Adhesive_category wikiPageWikiLinkText "Adhesive category".
- Adhesive_category wikiPageWikiLinkText "adhesive category".
- Adhesive_category id "adhesive+category".
- Adhesive_category title "Adhesive category".
- Adhesive_category wikiPageUsesTemplate Template:Nlab.
- Adhesive_category wikiPageUsesTemplate Template:OriginalResearch.
- Adhesive_category wikiPageUsesTemplate Template:Ref_improve.
- Adhesive_category wikiPageUsesTemplate Template:Technical.
- Adhesive_category subject Category:Articles_created_via_the_Article_Wizard.
- Adhesive_category subject Category:Category_theory.
- Adhesive_category hypernym Category.
- Adhesive_category type TelevisionStation.
- Adhesive_category comment "In mathematics, an adhesive category is a category where pushouts of monomorphisms exist and work more or less as they do in the category of sets.".
- Adhesive_category label "Adhesive category".
- Adhesive_category sameAs Q17001823.
- Adhesive_category sameAs m.0t_cqjc.
- Adhesive_category sameAs Q17001823.
- Adhesive_category wasDerivedFrom Adhesive_category?oldid=609986127.
- Adhesive_category isPrimaryTopicOf Adhesive_category.