Introduction of infinity-categories / Markus Land.

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 resul...

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Bibliographic Details
Main Author: Land, Markus
Format: eBook
Language:English
German
Published: Cham : Birkhäuser, 2021.
Series:Compact textbooks in mathematics,
Subjects:
Online Access:Click for online access

MARC

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100 1 |a Land, Markus. 
245 1 0 |a Introduction of infinity-categories /  |c Markus Land. 
260 |a Cham :  |b Birkhäuser,  |c 2021. 
300 |a 1 online resource 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Compact textbooks in mathematics,  |x 2296-4568 
505 0 |a 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. 
520 |a 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. 
504 |a Includes bibliographical references. 
588 0 |a Online resource; title from PDF title page (SpringerLink, viewed April 28, 2021). 
650 0 |a Categories (Mathematics) 
650 0 |a Homotopy theory. 
650 7 |a Categorías (Matemáticas)  |2 embne 
650 7 |a Homotopía  |2 embne 
650 7 |a Categories (Mathematics)  |2 fast 
650 7 |a Homotopy theory  |2 fast 
650 7 |a Categories (Matemàtica)  |2 thub 
655 7 |a Llibres electrònics.  |2 thub 
776 0 8 |c Original  |z 3030615235  |z 9783030615239  |w (OCoLC)1195449603 
830 0 |a Compact textbooks in mathematics,  |x 2296-4568 
856 4 0 |u https://holycross.idm.oclc.org/login?auth=cas&url=https://link.springer.com/10.1007/978-3-030-61524-6  |y Click for online access 
903 |a SPRING-MATH2021 
994 |a 92  |b HCD