Categorical Homotopy Theory
by Emily Riehl
Publisher: Cambridge University Press 2014
Number of pages: 292
Description:
This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Emily Riehl discusses two competing perspectives by which one typically first encounters homotopy (co)limits ...
Download or read it online for free here:
Download link
(1.4MB, PDF)
Similar books
Notes on Category Theory with examples from basic mathematicsby Paolo Perrone - arXiv
These notes were originally developed as lecture notes for a category theory course. They should be well-suited to anyone that wants to learn category theory from scratch and has a scientific mind. There is no need to know advanced mathematics.
(936 views)
Basic Category Theoryby Jaap van Oosten - University of Utrecht
Contents: Categories and Functors; Natural transformations; (Co)cones and (Co)limits; A little piece of categorical logic; Adjunctions; Monads and Algebras; Cartesian closed categories and the lambda-calculus; Recursive Domain Equations.
(13063 views)
Notes on Categories and Groupoidsby P. J. Higgins - Van Nostrand Reinhold
A self-contained account of the elementary theory of groupoids and some of its uses in group theory and topology. Category theory appears as a secondary topic whenever it is relevant to the main issue, and its treatment is by no means systematic.
(15623 views)
Basic Category Theoryby Tom Leinster - arXiv
This introduction to category theory is for readers with relatively little mathematical background. At its heart is the concept of a universal property, important throughout mathematics. For each new concept a generous supply of examples is provided.
(8734 views)