Introduction of infinity-categories

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:
Categories (Mathematics)
Homotopy theory.
Categorías (Matemáticas)
Homotopía
Homotopy theory
Categories (Matemàtica)
Llibres electrònics.
Online Access:Click for online access
Table of Contents:
  • 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.

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