**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

**Combinatorics and Algebra of Tensor Calculus**

by

**Sen Hu, Xuexing Lu, Yu Ye**-

**arXiv**

In this paper, we reveal the combinatorial nature of tensor calculus for strict tensor categories and show that there exists a monad which is described by the coarse-graining of graphs and characterizes the algebraic nature of tensor calculus.

(

**3277**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.

(

**2641**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.

(

**8460**views)

**Categories, Types, and Structures**

by

**Andrea Asperti, Giuseppe Longo**-

**MIT Press**

Here is an introduction to category theory for the working computer scientist. It is a self-contained introduction to general category theory and the mathematical structures that constitute the theoretical background.

(

**14091**views)