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
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.
(10636 views)
Basic Category Theoryby Jaap van Oosten - University of Utrecht
Contents: Categories and Functors; Natural transformations; (Co)cones and (Co)limits; A little piece of categorical logic; Adjunctions; Monads and Algebras; Cartesian closed categories and the lambda-calculus; Recursive Domain Equations.
(13279 views)
Seminar on Triples and Categorical Homology Theoryby 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.
(12214 views)
Seven Sketches in Compositionality: An Invitation to Applied Category Theoryby 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.
(6929 views)