{"title":"∞-范畴的同伦论","authors":"U. Bunke","doi":"10.1017/9781108588737.004","DOIUrl":null,"url":null,"abstract":"We construct model category structures on various types of (marked) *-categories. These structures are used to present the infinity categories of (marked) *-categories obtained by inverting (marked) unitary equivalences. We use this presentation to explicitly calculate the \\infty-categorical G-fixed points and G-orbits for G-equivariant (marked) *-categories.","PeriodicalId":318914,"journal":{"name":"Higher Categories and Homotopical Algebra","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"The Homotopy Theory of ∞-Categories\",\"authors\":\"U. Bunke\",\"doi\":\"10.1017/9781108588737.004\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We construct model category structures on various types of (marked) *-categories. These structures are used to present the infinity categories of (marked) *-categories obtained by inverting (marked) unitary equivalences. We use this presentation to explicitly calculate the \\\\infty-categorical G-fixed points and G-orbits for G-equivariant (marked) *-categories.\",\"PeriodicalId\":318914,\"journal\":{\"name\":\"Higher Categories and Homotopical Algebra\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-12-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Higher Categories and Homotopical Algebra\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1017/9781108588737.004\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Higher Categories and Homotopical Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/9781108588737.004","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We construct model category structures on various types of (marked) *-categories. These structures are used to present the infinity categories of (marked) *-categories obtained by inverting (marked) unitary equivalences. We use this presentation to explicitly calculate the \infty-categorical G-fixed points and G-orbits for G-equivariant (marked) *-categories.
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