G-category versus orbifold category

IF 0.7 4区数学 Q2 MATHEMATICS

Topological Methods in Nonlinear Analysis Pub Date : 2022-08-26 DOI:10.12775/tmna.2022.055

A. Ángel, Hellen Colman

引用次数: 1

Abstract

We present a comparative study of certain invariants defined for group actions and their analogues defined for orbifolds. In particular, we prove that Fadell's equivariant category for $G$-spaces coincides with the Lusternik-Schnirelmann category for orbifolds when the group is finite.

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g类和轨道类

我们对为群作用定义的某些不变量及其为轨道折叠定义的类似物进行了比较研究。特别地，我们证明了当群是有限的时，$G$-空间的Fadell等变范畴与轨道折叠的Lusternik-Schnirelmann范畴一致。

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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来源期刊

Topological Methods in Nonlinear Analysis 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Topological Methods in Nonlinear Analysis (TMNA) publishes research and survey papers on a wide range of nonlinear analysis, giving preference to those that employ topological methods. Papers in topology that are of interest in the treatment of nonlinear problems may also be included.