{"title":"g类和轨道类","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":"{\"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}","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}
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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