Introduction To Infinity Categories
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Introduction to Infinity-Categories
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.
Elements of ?-Category Theory
Author: Emily Riehl
language: en
Publisher: Cambridge University Press
Release Date: 2022-02-10
This book develops the theory of infinite-dimensional categories by studying the universe, or ∞-cosmos, in which they live.
Basic Category Theory
Author: Tom Leinster
language: en
Publisher: Cambridge University Press
Release Date: 2014-07-24
A short introduction ideal for students learning category theory for the first time.