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Details
Title
Introduction of infinity-categories / Markus Land.
Author
Land, Markus.
ISBN
9783030615246 (electronic bk.)
3030615243 (electronic bk.)
3030615235
9783030615239
3030615243 (electronic bk.)
3030615235
9783030615239
Publication Details
Cham : Birkhäuser, 2021.
Language
English
Description
1 online resource
Item Number
10.1007/978-3-030-61524-6 doi
Call Number
QA169
Dewey Decimal Classification
512/.62
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.
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed April 28, 2021).
Series
Compact textbooks in mathematics, 2296-4568
Available in Other Form
Print version: 9783030615239
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Table of Contents
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.
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.