**Higher Topos Theory**

by Jacob Lurie

**Publisher**: Princeton University Press 2009**ISBN/ASIN**: 0691140499**ISBN-13**: 9780691140490**Number of pages**: 943

**Description**:

Jacob Lurie presents the foundations of higher category theory, using the language of weak Kan complexes introduced by Boardman and Vogt, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language.

Download or read it online for free here:

**Download link**

(3.9MB, PDF)

## Similar books

**Category Theory for the Sciences**

by

**David I. Spivak**-

**The MIT Press**

This book shows that category theory can be useful outside of mathematics as a flexible modeling language throughout the sciences. Written in an engaging and straightforward style, the book is rigorous but accessible to non-mathematicians.

(

**7289**views)

**Basic Category Theory**

by

**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.

(

**12460**views)

**Higher Operads, Higher Categories**

by

**Tom Leinster**-

**arXiv**

Higher-dimensional category theory is the study of n-categories, operads, braided monoidal categories, and other such exotic structures. It draws its inspiration from topology, quantum algebra, mathematical physics, logic, and computer science.

(

**12355**views)

**Category Theory for Programmers**

by

**Bartosz Milewski**-

**unglue.it**

Category theory is the kind of math that is particularly well suited for the minds of programmers. It deals with the kind of structure that makes programs composable. And I will argue strongly that composition is the essence of programming.

(

**6722**views)