**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

**Category Theory in Context**

by

**Emily Riehl**-

**Dover Publications**

This is a concise, original text for a one-semester introduction to the subject. The treatment introduces the essential concepts of category theory: categories, functors, natural transformations, the Yoneda lemma, limits and colimits, monads, etc.

(

**5217**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.

(

**5514**views)

**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.

(

**5730**views)

**Seminar on Triples and Categorical Homology Theory**

by

**B. Eckmann**-

**Springer**

This volume concentrates a) on the concept of 'triple' or standard construction with special reference to the associated 'algebras', and b) on homology theories in general categories, based upon triples and simplicial methods.

(

**11028**views)