| Description |
1 online resource (vii, 278 pages) : illustrations. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Cambridge tracts in mathematics ; 201
|
|
Cambridge tracts in mathematics ; 201.
|
| Bibliography |
Includes bibliographical references and index. |
| 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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Tricategories.
|
|
Tricategories. |
| Genre/Form |
Electronic books.
|
|
Electronic book.
|
| Other Form: |
Print version: Gurski, Nick, 1980- Coherence in three-dimensional category theory. Cambridge : Cambridge University Press, 2013 9781107034891 (DLC) 2012051079 (OCoLC)813938959 |
| ISBN |
9781107336896 (electronic book) |
|
1107336899 (electronic book) |
|
9781139542333 (electronic book) |
|
1139542338 (electronic book) |
|
9781107327139 |
|
110732713X |
|
9781107034891 |
|
1107034892 |
|
9781107335233 |
|
110733523X |
|
