
Introduction to Infinity-Categories
Markus Land(Author)
Birkhäuser (Publisher)
Published on 22. April 2021
Book
Paperback/Softback
IX, 296 pages
978-3-030-61523-9 (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.
More details
Product info
Book
Series
Edition
1st ed. 2021
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
College/higher education
Illustrations
389
1 farbige Abbildung, 389 s/w Abbildungen
1 Illustrations, color; 389 Illustrations, black and white; IX, 296 p. 390 illus., 1 illus. in color.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 17 mm
Weight
470 gr
ISBN-13
978-3-030-61523-9 (9783030615239)
DOI
10.1007/978-3-030-61524-6
Schweitzer Classification
Other editions
Additional editions

Markus Land
Introduction to Infinity-Categories
E-Book
04/2021
Birkhäuser
€53.49
Available for download
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.