Higher Operads, Higher Categories
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Higher Operads, Higher Categories by Tom Leinster
Book DescriptionHigher-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.
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Book DetailsISBN: 9780521532150
(228mm x 152mm x 25mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 22-Jul-2004
Country of Publication: United Kingdom
Books By Author Tom Leinster
Basic Category Theory, Hardback (July 2014)» View all books by Tom Leinster
A short introduction ideal for students learning category theory for the first time.
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