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Introduction to Infinity-Categories

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Introduction to Infinity-Categories

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Introduction to Infinity-Categories/ by Markus Land.
Author:	Land, Markus.
Description:	IX, 296 p. 390 illus., 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Category theory (Mathematics). -
Online resource:	https://doi.org/10.1007/978-3-030-61524-6
ISBN:	9783030615246

Introduction to Infinity-Categories
Land, Markus.

Introduction to Infinity-Categories[electronic resource] /by Markus Land. - 1st ed. 2021. - IX, 296 p. 390 illus., 1 illus. in color.online resource. - Compact Textbooks in Mathematics,2296-455X. - Compact Textbooks in Mathematics,.

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.

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.

ISBN: 9783030615246

Standard No.: 10.1007/978-3-030-61524-6doiSubjects--Topical Terms:

1255325
Category theory (Mathematics).

LC Class. No.: QA169

Dewey Class. No.: 512.6

Introduction to Infinity-Categories
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