Coherence in three-dimensional category theory / / Nick Gurski, University of Sheffield [[electronic resource]]

• Autore: Gurski Nick <1980->
• Pubblicazione: Cambridge : , : Cambridge University Press, , 2013
• Descrizione fisica: 1 online resource (vii, 278 pages) : digital, PDF file(s)
• Disciplina: 512/.55
• Soggetto topico: Tricategories
• 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.: 9910464661203321
• Lo trovi qui: Univ. Federico II
• Serie: Cambridge tracts in mathematics ; ; 201.