Higher Operads, Higher Categories
Higher Operads, Higher Categories
Summary
Higher-dimensional category theory 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, appealing to graduate students and researchers who wish to become acquainted with this modern branch of mathematics.
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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 | Unavailable |
| ISBN 13 | 9780521532150 |
| ISBN 10 | 0521532159 |
| Title | Higher Operads, Higher Categories |
| Author | Tom Leinster |
| Series | London Mathematical Society Lecture Note Series |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 2004-07-22 |
| Number of pages | 448 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |