From Categories to Homotopy Theory Book [PDF] Download

• Publisher : Cambridge University Press
• File Size : 36,8 Mb
• Release Date : 16 April 2020

Bridge the gap between category theory and its applications in homotopy theory with this guide for graduate students and researchers.

• Publisher : Cambridge University Press
• File Size : 50,8 Mb
• Release Date : 26 May 2014

This categorical perspective on homotopy theory helps consolidate and simplify one's understanding of derived functors, homotopy limits and colimits, and model categories, among others.

• Publisher : Courier Dover Publications
• File Size : 27,6 Mb
• Release Date : 09 March 2017

Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — revisits a broad range of mathematical examples from the categorical perspective. 2016 edition.

• Publisher : Cambridge University Press
• File Size : 32,6 Mb
• Release Date : 15 March 2018

An introductory treatment to the homotopy theory of homotopical categories, presenting several models and comparisons between them.

• Publisher : Cambridge University Press
• File Size : 41,6 Mb
• Release Date : 24 July 2014

A short introduction ideal for students learning category theory for the first time.

• Publisher : Cambridge University Press
• File Size : 21,9 Mb
• Release Date : 20 October 2011

The study of higher categories is attracting growing interest for its many applications in topology, algebraic geometry, mathematical physics and category theory. In this highly readable book, Carlos Simpson develops

• Publisher : Birkhäuser
• File Size : 32,6 Mb
• Release Date : 06 December 2012

Since the beginning of the modern era of algebraic topology, simplicial methods have been used systematically and effectively for both computation and basic theory. With the development of Quillen's concept

• Publisher : American Mathematical Society
• File Size : 22,8 Mb
• Release Date : 19 January 2023

The core of classical homotopy theory is a body of ideas and theorems that emerged in the 1950s and was later largely codified in the notion of a model category.

• Publisher : Cambridge University Press
• File Size : 51,9 Mb
• Release Date : 02 May 2019

At last, a friendly introduction to modern homotopy theory after Joyal and Lurie, reaching advanced tools and starting from scratch.

• Publisher : Cambridge University Press
• File Size : 29,5 Mb
• Release Date : 10 February 2022

This book develops the theory of infinite-dimensional categories by studying the universe, or ∞-cosmos, in which they live.