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Introduction to Infinity-Categories
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Catalogue Information
Field name
Details
Dewey Class
512.6
Title
Introduction to Infinity-Categories ([EBook] /) / by Markus Land.
Author
Land, Markus
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2021.
Publication
Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2021.
Physical Details
IX, 296 p. 390 illus., 1 illus. in color. : online resource.
Series
Compact Textbooks in Mathematics
2296-455X
ISBN
9783030615246
Summary Note
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.:
Contents 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.
Mode of acces to digital resource
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-61524-6
Links to Related Works
Subject References:
Algebra, Homological
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Category Theory, Homological Algebra
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Authors:
author
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Land, Markus
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Corporate Authors:
SpringerLink (Online service)
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Series:
Compact Textbooks in Mathematics
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Classification:
512.6
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