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Record Nr. |
UNINA9910789316703321 |
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Autore |
Gurski Nick <1980-> |
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Titolo |
Coherence in three-dimensional category theory / / Nick Gurski, University of Sheffield [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2013 |
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ISBN |
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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 |
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Descrizione fisica |
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1 online resource (vii, 278 pages) : digital, PDF file(s) |
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Collana |
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Cambridge tracts in mathematics ; ; 201 |
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Classificazione |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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