Introduction to Infinity-Categories

Häftad, Engelska, 2021

Del i serien Compact Textbooks in Mathematics

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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.

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.