UID:
almahu_9948689685502882
Format:
IX, 296 p. 390 illus., 1 illus. in color.
,
online resource.
Edition:
1st ed. 2021.
ISBN:
9783030615246
Series Statement:
Compact Textbooks in Mathematics,
Content:
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.
Note:
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.
In:
Springer Nature eBook
Additional Edition:
Printed edition: ISBN 9783030615239
Additional Edition:
Printed edition: ISBN 9783030615253
Language:
English
DOI:
10.1007/978-3-030-61524-6
URL:
https://doi.org/10.1007/978-3-030-61524-6
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