Elements of ∞-Category Theory最新文献

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Elements of ∞-Category Theory Pub Date : 2022-01-31 DOI: 10.1017/9781108936880.028
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引用次数: 0
Change-of-Model Functors Change-of-Model子
Elements of ∞-Category Theory Pub Date : 2022-01-31 DOI: 10.1017/9781108936880.015
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引用次数: 0
Appendix of Concrete Constructions 混凝土结构附录
Elements of ∞-Category Theory Pub Date : 2022-01-31 DOI: 10.1017/9781108936880.022
{"title":"Appendix of Concrete Constructions","authors":"","doi":"10.1017/9781108936880.022","DOIUrl":"https://doi.org/10.1017/9781108936880.022","url":null,"abstract":"","PeriodicalId":205894,"journal":{"name":"Elements of ∞-Category Theory","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131372726","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}
引用次数: 0
Glossary of Notation 符号词汇表
Elements of ∞-Category Theory Pub Date : 2022-01-31 DOI: 10.1017/9781108936880.027
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引用次数: 0
Adjunctions, Limits, and Colimits II 附加、限制和限制2
Elements of ∞-Category Theory Pub Date : 2022-01-31 DOI: 10.1017/9781108936880.006
{"title":"Adjunctions, Limits, and Colimits\u0000 II","authors":"","doi":"10.1017/9781108936880.006","DOIUrl":"https://doi.org/10.1017/9781108936880.006","url":null,"abstract":"","PeriodicalId":205894,"journal":{"name":"Elements of ∞-Category Theory","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133900874","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}
引用次数: 0
BASIC CONCEPTS OF ENRICHED CATEGORY THEORY 丰富范畴论的基本概念
Elements of ∞-Category Theory Pub Date : 2022-01-31 DOI: 10.1017/9781108936880.019
G. M. Kelly, T. Bartels, William Boshuck, M. M. Clementino, R. Dawson, Stephen Lack, T. Leinster, F. Marmolejo, Shane O 'conchuir, C. Pastro, Mark Weber, R. Wojtowicz, G. Max, Kelly Sydney
{"title":"BASIC CONCEPTS OF ENRICHED CATEGORY THEORY","authors":"G. M. Kelly, T. Bartels, William Boshuck, M. M. Clementino, R. Dawson, Stephen Lack, T. Leinster, F. Marmolejo, Shane O 'conchuir, C. Pastro, Mark Weber, R. Wojtowicz, G. Max, Kelly Sydney","doi":"10.1017/9781108936880.019","DOIUrl":"https://doi.org/10.1017/9781108936880.019","url":null,"abstract":"Although numerous contributions from divers authors, over the past fifteen years or so, have brought enriched category theory to a developed state, there is still no connected account of the theory, or even of a substantial part of it. As the applications of the theory continue to expand - some recent examples are given below - the lack of such an account is the more acutely felt. The present book is designed to supply the want in part, by giving a fairly complete treatment of the limited area to which the title refers. The basic concepts of category theory certainly include the notion of functor-category, of limit and colimit, of Kan extension, and of density; with their applications to completions, perhaps including those relative completions given by categories of algebras for limit-defined theories. If we read 'V-category' for 'category' here, this is essentially the list of our chapter-headings below, after the first chapter introducing V-categories. In fact our scope is wider than this might suggest; for what we give is also a selfcontained account of basic category theory as described above, assuming as prior knowledge only the most elementary categorical concepts, and treating the ordinary and enriched cases together from Chapter 3 on.","PeriodicalId":205894,"journal":{"name":"Elements of ∞-Category Theory","volume":"10 7","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114019887","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}
引用次数: 1413
Two-Sided Fibrations and Modules 双面纤维和模块
Elements of ∞-Category Theory Pub Date : 2022-01-31 DOI: 10.1017/9781108936880.011
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引用次数: 0
An Interlude On ∞-Cosmology 关于∞-宇宙学的插曲
Elements of ∞-Category Theory Pub Date : 2022-01-31 DOI: 10.1017/9781108936880.008
{"title":"An Interlude On ∞-Cosmology","authors":"","doi":"10.1017/9781108936880.008","DOIUrl":"https://doi.org/10.1017/9781108936880.008","url":null,"abstract":"","PeriodicalId":205894,"journal":{"name":"Elements of ∞-Category Theory","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115874093","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}
引用次数: 0
Fibrations and Yoneda’s Lemma 纤维和约田引理
Elements of ∞-Category Theory Pub Date : 2022-01-31 DOI: 10.1017/9781108936880.007
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引用次数: 0
The Analytic Theory of Quasi-Categories 拟范畴的解析理论
Elements of ∞-Category Theory Pub Date : 2022-01-31 DOI: 10.1017/9781108936880.025
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引用次数: 0
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