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Introduction to infinity-categories [electronic resource]
- 作者: Land, Markus.
- 其他作者:
- 其他題名:
- Compact textbooks in mathematics.
- 出版: Cham : Springer International Publishing :Imprint: Birkhauser
- 叢書名: Compact textbooks in mathematics,
- 主題: Categories (Mathematics) , Homotopy theory. , Category Theory, Homological Algebra.
- ISBN: 9783030615246 (electronic bk.) 、 9783030615239 (paper)
- FIND@SFXID: CGU
- 資料類型: 電子書
- 內容註: Preface -- Categories, simplicial sets, and in nity-categories -- Joyal's theorem, applications, and Dwyer-Kan localizations -- (Co)Cartesian brations and the construction of functors -- Limits and Colimits -- Adjunctions and adjoint functor theorems -- Exercises.
- 摘要註: This textbook is an introduction to the theory of infinity-categories, a tool used in many aspects of modern pure mathematics. It treats the basics of the theory and supplies all the necessary details while leading the reader along a streamlined path from the basic definitions to more advanced results such as the very important adjoint functor theorems. The book is based on lectures given by the author on the topic. While the material itself is well-known to experts, the presentation of the material is, in parts, novel and accessible to non-experts. Exercises complement this textbook that can be used both in a classroom setting at the graduate level and as an introductory text for the interested reader.
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讀者標籤:
- 系統號: 005535534 | 機讀編目格式