In mathematics, higher category theory is the part of category theory at a higher order, which means that some equalities are replaced by explicit arrows in ... Strict higher categories · Weak higher categories

4 окт. 2024 г. · Higher category theory is the generalization of category theory to a context where there are not only morphisms between objects, but generally k ... Idea · Idea of relation to other... · Extended cobordisms

Higher Category Theory. A category is something consisting of a collection of objects, a collection of morphisms, and a rule for how to compose such morphisms.

2 нояб. 2014 г. · The reason is that if two continuous functions are homotopic then they induce the same maps on homotopy groups and hence are "the same" for the ... Are higher categories useful? - MathOverflow What is the motivation for infinity category theory? - MathOverflow How much homotopy theory before higher category theory? Higher category theory (invertible morphism, Topological ... Другие результаты с сайта mathoverflow.net

25 янв. 2024 г. · We give an introduction to the homotopical theory of higher categories, focused on motivating the definitions of the basic objects.

This course will be an introduction to higher category theory focussing on the approach via infinity-categories. Lecture Notes. Lecture notes (until Jan 08) ...

22 мар. 2024 г. · Higher category theory has helped foster entire new fields of study that would have been difficult to conceive otherwise. This page lists and discusses ...

Higher categories offer unforeseen characterizing universal properties for familiar constructions such as K-theory.

22 янв. 2010 г. · This is the first draft of a book about higher categories approached by iterating Segal's method, as in Tamsamani's definition of n-nerve and Pelissier's ...