Higher Operads, Higher Categories (London Mathematical Society Lecture Note Series)

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9780521532150: Higher Operads, Higher Categories (London Mathematical Society Lecture Note Series)
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Category theory has experienced a resurgence in popularity recently because of new links with topology and mathematical physics. This book provides a clearly written account of higher order category theory and presents operads and multicategories as a natural language for its study. Tom Leinster has included necessary background material and applications as well as appendices containing some of the more technical proofs that might have disrupted the flow of the text.

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Category theory has experienced a resurgence in popularity recently because of new links with topology and mathematical physics. This book gives a user friendly account of higher order category theory and presents operads and multicategories as a natural language for its study. The author has included necessary background material and applications as well as appendices containing some of the more technical proofs that might have disrupted the flow of the text. This book should be a valuable resource to graduate students and researchers in the field.

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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2004. Paperback. Condition: New. New. Language: English . Brand New Book ***** Print on Demand *****. 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. Seller Inventory # AAV9780521532150

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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2009. Paperback. Condition: New. New.. Language: English . Brand New Book ***** Print on Demand *****.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. Seller Inventory # AAV9780521532150

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