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 Theoryby 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.
(8661 views)
Category Theory: A Gentle Introductionby Peter Smith - Logic Matters
I hope that what is here may prove useful to others starting to get to grips with category theory. This text is intended to be relatively accessible; in particular, it presupposes rather less mathematical background than some texts on categories.
(8042 views)
Category Theory for Scientistsby 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.
(10396 views)
Abstract and Concrete Categories: The Joy of Catsby Jiri Adamek, Horst Herrlich, George Strecker - John Wiley & Sons
A modern introduction to the theory of structures via the language of category theory, the emphasis is on concrete categories. The first five chapters present the basic theory, while the last two contain more recent research results.
(20223 views)