Towards Higher Categories / edited by John C. Baez, J. Peter May
(The IMA Volumes in Mathematics and its Applications ; 152)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | New York, NY : Springer New York |
| 出版年 | 2010 |
| 本文言語 | 英語 |
| 大きさ | XIII, 283 p : online resource |
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| 内容注記 | Lectures on -Categories and Cohomology A Survey of (#x221E;, 1)-Categories Internal Categorical Structures in Homotopical Algebra A 2-Categories Companion Notes on 1- and 2-Gerbes An Australian Conspectus of Higher Categories |
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| 一般注記 | The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology and other tools of algebraic topology are seen through the eyes of n-category theory. The idea is to give some of the motivations behind this subject. There are then two survey articles, by Julie Bergner and Simona Paoli, about (infinity,1) categories and about the algebraic modelling of homotopy n-types. These are areas that are particularly well understood, and where a fully integrated theory exists. The main focus of the book is on the richness to be found in the theory of bicategories, which gives the essential starting point towards the understanding of higher categorical structures. An article by Stephen Lack gives a thorough, but informal, guide to this theory. A paper by Larry Breen on the theory of gerbes shows how such categorical structures appear in differential geometry. This book is dedicated to Max Kelly, the founder of the Australian school of category theory, and an historical paper by Ross Street describes its development |
| 著者標目 | Baez, John C. editor May, J. Peter editor SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Category theory (Mathematics) LCSH:Homological algebra LCSH:Topology LCSH:Algebraic topology FREE:Mathematics FREE:Category Theory, Homological Algebra FREE:Algebraic Topology FREE:Topology |
| 分 類 | DC23:512.6 |
| 巻冊次 | ISBN:9781441915245 
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| ISBN | 9781441915245 |
| URL | http://dx.doi.org/10.1007/978-1-4419-1524-5 |
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