Naive离散同调理论中Colimits的不存在性
IF 0.6
4区 数学
Q3 MATHEMATICS
引用次数: 0
摘要
我们证明了定义为（简单）图的范畴在A-同构等价类上的局部化的拟范畴不允许共线性。特别地，我们在否定的情况下解决了图范畴中的A-homopy等价是否是模型结构的一部分的问题。本文章由计算机程序翻译，如有差异，请以英文原文为准。
Nonexistence of Colimits in Naive Discrete Homotopy Theory
We show that the quasicategory defined as the localization of the category of (simple) graphs at the class of A-homotopy equivalences does not admit colimits. In particular, we settle in the negative the question of whether the A-homotopy equivalences in the category of graphs are part of a model structure.
求助全文
通过发布文献求助，成功后即可免费获取论文全文。
去求助
来源期刊
CiteScore
1.30
自引率
16.70%
发文量
29
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.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
