**Higher Operads, Higher Categories**

by Tom Leinster

**Publisher**: arXiv 2003**ISBN/ASIN**: 0521532159**ISBN-13**: 9780521532150**Number of pages**: 410

**Description**:

Higher-dimensional category theory is the study of n-categories, operads, braided monoidal categories, and other such exotic structures. It draws its inspiration from areas as diverse as topology, quantum algebra, mathematical physics, logic, and theoretical computer science. This is the first book on the subject and lays its foundations.

Download or read it online for free here:

**Download link**

(3MB, PDF)

## Similar books

**Basic Category Theory**

by

**Tom Leinster**-

**arXiv**

This introduction to category theory is for readers with relatively little mathematical background. At its heart is the concept of a universal property, important throughout mathematics. For each new concept a generous supply of examples is provided.

(

**2502**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.

(

**9968**views)

**Category Theory for Scientists**

by

**David I. Spivak**-

**arXiv**

We attempt to show that category theory can be applied throughout the sciences as a framework for modeling phenomena and communicating results. In order to target the scientific audience, this book is example-based rather than proof-based.

(

**5643**views)

**Functors and Categories of Banach Spaces**

by

**Peter W. Michor**-

**Springer**

The aim of this book is to develop the theory of Banach operator ideals and metric tensor products along categorical lines: these two classes of mathematical objects are endofunctors on the category Ban of all Banach spaces in a natural way.

(

**6176**views)