{"title":"G-category versus orbifold category","authors":"A. Ángel, Hellen Colman","doi":"10.12775/tmna.2022.055","DOIUrl":null,"url":null,"abstract":"We present a comparative study of certain invariants defined for group actions and\n their analogues defined for orbifolds. In particular, we prove that Fadell's equivariant\n category for $G$-spaces coincides with the Lusternik-Schnirelmann category for\n orbifolds when the group is finite.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2022-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Topological Methods in Nonlinear Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12775/tmna.2022.055","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
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.
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.
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