Introduction to infinity-categories
by Land, Markus
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 mat…
Read More ↓Title Statements
- Full title :Introduction to infinity-categories / Markus Land.
Summary
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. --
Read More ↓Edition Statements
- Publication Date:2021
Publication Statements
- Publisher(s):Birkhäuser
- Place of Publication:Cham, Switzerland
- Language:eng
- Publication Date:2021
The Physical Object
- Description:ix, 296 pages : : illustrations ; : 24 cm
Edition Identifiers
- ISBN:9783030615239, 3030615235
- oclc:on1195449603
- LC Classification:QA169
Table of Contents
Categories, simplicial sets, and infinity-categories -- Joyal's theorem, applications, and Dwyer-Kan localizations -- (Co)Cartesian fibrations and the construction of functors -- Limits, colimits, and Quillen's theorem A -- Adjunctions and adjoint functor theorems -- Exercises.
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