拓扑群类群与Hurewicz态射的推广

IF 0.6 4区数学 Q3 MATHEMATICS

Applied Categorical Structures Pub Date : 2023-08-28 DOI:10.1007/s10485-023-09744-x

Saikat Chatterjee, Praphulla Koushik

引用次数: 0

摘要

在本文中，我们引入了拓扑群类群扩展的概念，并将其与已有的拓扑堆上的gerbe的概念联系起来。我们进一步研究了Hurewicz方程上gerbe的性质。Serre)堆栈。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Extension of Topological Groupoids and Hurewicz Morphisms

In this paper, we introduce the notion of a topological groupoid extension and relate it to the already existing notion of a gerbe over a topological stack. We further study the properties of a gerbe over a Hurewicz (resp. Serre) stack.

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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.