A remark on the total simplicial set functor

IF 0.5 4区数学 Q3 MATHEMATICS

Applied Categorical Structures Pub Date : 2025-06-09 DOI:10.1007/s10485-025-09815-1

Danny Stevenson

引用次数: 0

Abstract

We prove that for any bisimplicial set X, the natural comparison map between the diagonal dX and the total simplicial set TX is a categorical equivalence in the sense of Joyal and Lurie.

查看原文本刊更多论文

关于全简单集函子的注解

证明了对于任意双单纯集X，对角线dX与全单纯集TX之间的自然比较映射是Joyal和Lurie意义上的范畴等价。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Applied Categorical Structures 数学-数学

CiteScore

1.30

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： Applied Categorical Structures focuses on applications of results, techniques and ideas from category theory to mathematics, physics and computer science. These include the study of topological and algebraic categories, representation theory, algebraic geometry, homological and homotopical algebra, derived and triangulated categories, categorification of (geometric) invariants, categorical investigations in mathematical physics, higher category theory and applications, categorical investigations in functional analysis, in continuous order theory and in theoretical computer science. In addition, the journal also follows the development of emerging fields in which the application of categorical methods proves to be relevant. Applied Categorical Structures publishes both carefully refereed research papers and survey papers. It promotes communication and increases the dissemination of new results and ideas among mathematicians and computer scientists who use categorical methods in their research.