30 мая 2023 г. · A quasi-category is a simplicial set in which composition of any two composable edges is defined up to a contractible space of choices.

In mathematics, more specifically category theory, a quasi-category is a generalization of the notion of a category. The study of such generalizations is ... Definition · The homotopy category · Examples · Variants

4 авг. 2020 г. · A quasi-category is a simplicial set satisfying a condition that asks for certain “compositions of morphisms” to exist.

Quasi-categories are the fibrant objects of a Quillen model structure on the category of simplicial sets. Many results of homotopical algebra become more ...

22 июн. 2008 г. · Our goal is to show that category theory has a natural extension to quasi-categories, The extended theory has applications to homotopy theory, ...

31 мая 2023 г. · There is an operadic analog of the relation between quasi-categories and simplicial categories, involving, correspondingly, dendroidal sets and ...

A quasi-category X is a simplicial set satisfying the restricted Kan conditions of Boardman and Vogt. It has an associated homotopy category ho X . We show ...

In this paper we re-develop the foundations of the category theory of quasi-categories (also called ∞-categories) using. 2-category theory.

26 мая 2014 г. · There is a simple direct procedure to extract a quasicategory from a model category, see Remark 2.8 in Meier's “Model categories are fibrant ...

18 янв. 2022 г. · The paradigm is "use simplicial categories for examples; use quasicategories for general theorems". There are a lot of constructions which are simpler in ...