| Description |
1 online resource (vii, 278 pages) : illustrations |
| Series |
Cambridge tracts in mathematics ; 201 |
|
Cambridge tracts in mathematics ; 201.
|
| Contents |
Introduction -- Background: Bicategorical background ; Coherence for bicategories ; Gray-categories -- Tricategories: The algebraic definition of tricategory ; Examples ; Free constructions ; Basic structure ; Gray-categories and tricategories ; Coherence via Yoneda ; Coherence via free constructions -- Gray-monads: Codescent in Gray-categories ; Codescent as a weighted colimit ; Gray-monads and their algebras ; The reflection of lax algebras into strict algebras ; A general coherence result |
| Summary |
"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"-- Provided by publisher |
|
"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."-- Provided by publisher |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
|
Print version record |
| Subject |
Tricategories.
|
|
MATHEMATICS -- Logic.
|
|
MATHEMATICS -- Algebra -- Linear.
|
|
CategorÃas (Matemáticas)
|
|
Tricategories
|
| Form |
Electronic book
|
| ISBN |
9781107336896 |
|
1107336899 |
|
9781139542333 |
|
1139542338 |
|
9781107327139 |
|
110732713X |
|
9781107333574 |
|
1107333571 |
|
1107238420 |
|
9781107238428 |
|
1299399959 |
|
9781299399952 |
|
1107336066 |
|
9781107336063 |
|
