Introduction to Infinity-Categories

AvMarkus Land

Häftad, Engelska, 2021

Del i serien Compact Textbooks in Mathematics

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E-bok

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2021-04-22
Mått:155 x 235 x 21 mm
Vikt:474 g
Format:Häftad
Språk:Engelska
Serie:Compact Textbooks in Mathematics
Antal sidor:296
Förlag:Springer Nature Switzerland AG
ISBN:9783030615239

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Mer om författaren

Markus Land is a lecturer at the University of Regensburg and a guest researcher at the University of Copenhagen in the academic year 2019/2020.

Recensioner i media

“This book is a concise and rather comprehensive introduction to the theory of ∞-categories, aimed at a wide audience. … The material developed in this book mostly originates from the work of Joyal and Lurie. It is presented here in a fresh, streamlined, and accessible way. The length and style of this book make it ideally suited for a lecture course or seminar on ∞-categories. … Finally, a nice collection of exercises is included as an appendix.” (Gijs Heuts, Mathematical Reviews, July, 2022)

Innehållsförteckning

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.