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Coherence in three-dimensional category theory

"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....

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Autor principal: Gurski, Nick
Lenguaje:eng
Publicado: Cambridge University Press 2013
Materias:
Acceso en línea:http://cds.cern.ch/record/2634642
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author Gurski, Nick
author_facet Gurski, Nick
author_sort Gurski, Nick
collection CERN
description "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"--
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publisher Cambridge University Press
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spelling cern-26346422021-04-21T18:44:04Zhttp://cds.cern.ch/record/2634642engGurski, NickCoherence in three-dimensional category theoryMathematical Physics and Mathematics"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"--Cambridge University Pressoai:cds.cern.ch:26346422013
spellingShingle Mathematical Physics and Mathematics
Gurski, Nick
Coherence in three-dimensional category theory
title Coherence in three-dimensional category theory
title_full Coherence in three-dimensional category theory
title_fullStr Coherence in three-dimensional category theory
title_full_unstemmed Coherence in three-dimensional category theory
title_short Coherence in three-dimensional category theory
title_sort coherence in three-dimensional category theory
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2634642
work_keys_str_mv AT gurskinick coherenceinthreedimensionalcategorytheory