Higher Operads, Higher Categories by Tom Leinster

Higher Operads, Higher Categories by Tom Leinster

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.

Tom Leinster worked as a postdoctoral researcher at the University of Cambridge and the Institut des Hautes Études Scientifiques (France), as well as an EPSRC Advanced Research Fellow at the University of Glasgow. At the University of Edinburgh, he is currently a Chancellor's Fellow. He is also the co-host of the research blog The n-Category Café and the author of Higher Operads, Higher Categories (Cambridge University Press, 2004).

SKU	Non disponible
ISBN 13	9780521532150
ISBN 10	0521532159
Titre	Higher Operads, Higher Categories
Auteur	Tom Leinster
Série	London Mathematical Society Lecture Note Series
État	Non disponible
Type de reliure	Paperback
Éditeur	Cambridge University Press
Année de publication	2004-07-22
Nombre de pages	448
Note de couverture	La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note	Non disponible