Introduction to Infinity-Categories
Published on 21. April 2021
IX, 296 pages
978-3-030-61524-6 (ISBN)
Description
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.
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.
Reviews / Votes
"This book is a concise and rather comprehensive introduction to the theory of 8-categories, aimed at a wide audience. . The material developed in this book mostly originates from the work of Joyal and Lurie. It is presented here in a fresh, streamlined, and accessible way. The length and style of this book make it ideally suited for a lecture course or seminar on 8-categories. . Finally, a nice collection of exercises is included as an appendix." (Gijs Heuts, Mathematical Reviews, July, 2022)More details
Series
Edition
1st ed. 2021
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Product notice
Reflowable
Illustrations
IX, 296 p. 390 illus., 1 illus. in color.
File size
13,56 MB
ISBN-13
978-3-030-61524-6 (9783030615246)
DOI
10.1007/978-3-030-61524-6
Schweitzer Classification
Other editions
Additional editions
Markus Land
Introduction to Infinity-Categories
Book
04/2021
Birkhäuser
€58.84
Shipment within 7-9 days
Person
Markus Land
is a lecturer at the University of Regensburg and a guest researcher at the University of Copenhagen in the academic year 2019/2020.
Content
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.
