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- Quasi-category abstract "In mathematics, a quasi-category (also called quasicategory, weak Kan complex, inner Kan complex, infinity category, ∞-category, Boardman complex, quategory) is a higher categorical generalization of a notion of a category introduced by Boardman & Vogt (1973). André Joyal has much advanced the study of quasi-categories showing that most of the usual basic category theory and some of the advanced notions and theorems have their analogues for quasi-categories. An elaborate treatise of the theory of quasi-categories has been expounded by Jacob Lurie (2009).The idea of higher category theory (at least, higher category theory when higher morphisms are invertible) is that, as opposed to the standard notion of a category, there should be a mapping space (rather than a mapping set) between two objects. This suggests that a higher category should simply be a topologically enriched category. The model of quasi-categories is, however, better suited to applications than that of topologically enriched categories, though it has been proved by Lurie that the two have natural model structures that are Quillen equivalent.".
- Quasi-category wikiPageExternalLink The+theory+of+quasi-categories.
- Quasi-category wikiPageExternalLink hc2.pdf.
- Quasi-category wikiPageExternalLink Joyal.pdf.
- Quasi-category wikiPageExternalLink InfinityCategories.pdf.
- Quasi-category wikiPageID "28662219".
- Quasi-category wikiPageRevisionID "605700248".
- Quasi-category authorlink "Jacob Lurie".
- Quasi-category first "Jacob".
- Quasi-category hasPhotoCollection Quasi-category.
- Quasi-category last "Lurie".
- Quasi-category year "2009".
- Quasi-category subject Category:Category_theory.
- Quasi-category comment "In mathematics, a quasi-category (also called quasicategory, weak Kan complex, inner Kan complex, infinity category, ∞-category, Boardman complex, quategory) is a higher categorical generalization of a notion of a category introduced by Boardman & Vogt (1973). André Joyal has much advanced the study of quasi-categories showing that most of the usual basic category theory and some of the advanced notions and theorems have their analogues for quasi-categories.".
- Quasi-category label "Quasi-category".
- Quasi-category sameAs m.0czd71x.
- Quasi-category sameAs Q7269442.
- Quasi-category sameAs Q7269442.
- Quasi-category wasDerivedFrom Quasi-category?oldid=605700248.
- Quasi-category isPrimaryTopicOf Quasi-category.