Pub Date : 2019-04-30DOI: 10.1017/9781108588737.007
{"title":"Adjoints, Limits and Kan Extensions","authors":"","doi":"10.1017/9781108588737.007","DOIUrl":"https://doi.org/10.1017/9781108588737.007","url":null,"abstract":"","PeriodicalId":318914,"journal":{"name":"Higher Categories and Homotopical Algebra","volume":"13 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130519401","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-12-12DOI: 10.1017/9781108588737.004
U. Bunke
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.
{"title":"The Homotopy Theory of ∞-Categories","authors":"U. Bunke","doi":"10.1017/9781108588737.004","DOIUrl":"https://doi.org/10.1017/9781108588737.004","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":0.0,"publicationDate":"2016-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125890171","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}