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Introduction to infinity-categories

Land, Markus.

Introduction to infinity-categories

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Introduction to infinity-categoriesby Markus Land.
作者:	Land, Markus.
出版者:	Cham :Springer International Publishing :2021.
面頁冊數:	ix, 296 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Categories (Mathematics)
電子資源:	https://doi.org/10.1007/978-3-030-61524-6
ISBN:	9783030615246$q(electronic bk.)

Introduction to infinity-categories
Land, Markus.

Introduction to infinity-categories[electronic resource] /by Markus Land. - Cham :Springer International Publishing :2021. - ix, 296 p. :ill., digital ;24 cm. - Compact textbooks in mathematics,2296-4568. - 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$q(electronic bk.)

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

206297
Categories (Mathematics)

LC Class. No.: QA169 / .L363 2021

Dewey Class. No.: 512.62

Introduction to infinity-categories
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245 1 0 $a Introduction to infinity-categories $h [electronic resource] / $c by Markus Land.
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505 0 $a 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.
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.
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