Definition of Quasicategory. Meaning of Quasicategory. Synonyms of Quasicategory

Here you will find one or more explanations in English for the word Quasicategory. Also in the bottom left of the page several parts of wikipedia pages related to the word Quasicategory and, of course, Quasicategory synonyms and on the right images related to the word Quasicategory.

Definition of Quasicategory

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Meaning of Quasicategory from wikipedia

- mathematics, more specifically category theory, a quasi-category (also called quasicategory, weak Kan complex, inner Kan complex, infinity category, ∞-category...
- Brown representability theorem for the homotopy category of a pointed quasicategory with a compact set of generators which are cogroup objects in the homotopy...
- form the “category of all categories”. But it is possible to form a quasicategory (meaning objects and morphisms merely form a conglomerate) of all categories...
- general introduction to higher category theory (using the formalism of "quasicategories" or "weak Kan complexes"), and to apply this theory to the study of...
- representability conditions). Quillen model categories, Segal categories and quasicategories are some of the most often used tools to formalize this yielding the...
- rigorous development of general ∞-category theory in the language of quasicategories, a special class of simplicial set which acts as a model for ∞-categories...
- which case a quasicategory is a category whose objects and morphisms merely form a conglomerate. (NB: some authors use the term "quasicategory" with a different...