**Higher-Dimensional Categories: an illustrated guide book**

by Eugenia Cheng, Aaron Lauda

**Publisher**: University of Sheffield 2004**Number of pages**: 182

**Description**:

This work gives an explanatory introduction to various definitions of higher-dimensional category. The emphasis is on ideas rather than formalities; the aim is to shed light on the formalities by emphasizing the intuitions that lead there. To aid this, the tone is informal and there are copious pictures.

Download or read it online for free here:

**Download link**

(1.7MB, PDF)

## Similar books

**Higher Topos Theory**

by

**Jacob Lurie**-

**Princeton University Press**

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

(

**13155**views)

**Category Theory Lecture Notes**

by

**Michael Barr, Charles Wells**

Categories originally arose in mathematics out of the need of a formalism to describe the passage from one type of mathematical structure to another. These notes form a short summary of some major topics in category theory.

(

**11851**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.

(

**6968**views)

**Toposes, Triples and Theories**

by

**Michael Barr, Charles Wells**-

**Springer-Verlag**

Introduction to toposes, triples and theories and the connections between them. The book starts with an introduction to category theory, then introduces each of the three topics of the title. Exercises provide examples or develop the theory further.

(

**14702**views)