Coherence in three-dimensional category theory / / Nick Gurski, University of Sheffield [[electronic resource]]
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| Autore: |
Gurski Nick <1980->
|
| Titolo: |
Coherence in three-dimensional category theory / / Nick Gurski, University of Sheffield [[electronic resource]]
|
| Pubblicazione: | Cambridge : , : Cambridge University Press, , 2013 |
| Descrizione fisica: | 1 online resource (vii, 278 pages) : digital, PDF file(s) |
| Disciplina: | 512/.55 |
| Soggetto topico: | Tricategories |
| Classificazione: | MAT018000 |
| Note generali: | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Coherence in three-dimensional category theory |
| ISBN: | 1-107-23842-0 |
| 1-299-39995-9 | |
| 1-107-33277-X | |
| 1-107-33689-9 | |
| 1-139-54233-8 | |
| 1-107-33357-1 | |
| 1-107-33523-X | |
| 1-107-33606-6 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910815652503321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Cambridge tracts in mathematics ; ; 201.