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Coherence in three-dimensional category theory /
"Dimension three is an important test-bed for hypotheses in higher category theory and occupies something of a unique position in the categorical landscape. At the heart of matters is the coherence theorem, of which this book provides a definitive treatment, as well as covering related results....
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2013.
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| Colección: | Cambridge tracts in mathematics ;
201. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | "Dimension three is an important test-bed for hypotheses in higher category theory and occupies something of a unique position in the categorical landscape. At the heart of matters is the coherence theorem, of which this book provides a definitive treatment, as well as covering related results. Along the way the author treats such material as the Gray tensor product and gives a construction of the fundamental 3-groupoid of a space. The book serves as a comprehensive introduction, covering essential material for any student of coherence and assuming only a basic understanding of higher category theory. It is also a reference point for many key concepts in the field and therefore a vital resource for researchers wishing to apply higher categories or coherence results in fields such as algebraic topology or theoretical computer science"-- "In the study of higher categories, dimension three occupies an interesting position on the landscape of higher dimensional category theory. From the perspective of a "hands-on" approach to defining weak n-categories, tricategories represent the most complicated kind of higher category that the community at large seems comfortable working with."-- |
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| Descripción Física: | 1 online resource (vii, 278 pages) : illustrations |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9781107336896 1107336899 9781139542333 1139542338 9781107327139 110732713X 9781107333574 1107333571 1107238420 9781107238428 1299399959 9781299399952 1107336066 9781107336063 |