**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

**Introduction to Categories and Categorical Logic**

by

**Samson Abramsky, Nikos Tzevelekos**-

**arXiv**

These notes provide a succinct, accessible introduction to some of the basic ideas of category theory and categorical logic. The main prerequisite is a basic familiarity with the elements of discrete mathematics: sets, relations and functions.

(

**13191**views)

**Model Categories and Simplicial Methods**

by

**Paul Goerss, Kristen Schemmerhorn**-

**Northwestern University**

There are many ways to present model categories, each with a different point of view. Here we would like to treat model categories as a way to build and control resolutions. We are going to emphasize the analog of projective resolutions.

(

**10431**views)

**Notes on Categories and Groupoids**

by

**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.

(

**15915**views)

**Seven Sketches in Compositionality: An Invitation to Applied Category Theory**

by

**Brendan Fong, David I Spivak**-

**arXiv.org**

This book is an invitation to discover advanced topics in category theory through concrete, real-world examples. The tour takes place over seven sketches, such as databases, electric circuits, etc, with the exploration of a categorical structure.

(

**6946**views)