Higher operads, higher categories

Tom Leinster - Collection London Mathematical Society Student Texts

434 pages, parution le 13/07/2004

Ajouter à une liste

Indisponible

Résumé

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. The heart of this book is the language of generalized operads. This is as natural and transparent a language for higher category theory as the language of sheaves is for algebraic geometry, or vector spaces for linear algebra. It is introduced carefully, then used to give simple descriptions of a variety of higher categorical structures. In particular, one possible definition of n-category is discussed in detail, and some common aspects of other possible definitions are established. This is the first book on the subject and lays its foundations. It will appeal to both graduate students and established researchers who wish to become acquainted with this modern branch of mathematics.

Sommaire

Background
Operads
N-categories

Voir tout

Replier

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Tom Leinster
Collection	London Mathematical Society Student Texts
Parution	13/07/2004
Nb. de pages	434
Format	15 x 23
Couverture	Broché
Poids	580g
Intérieur	Noir et Blanc
EAN13	9780521532150
ISBN13	978-0-521-53215-0