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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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Lenguaje: | eng |
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Cambridge University Press
2013
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Acceso en línea: | http://cds.cern.ch/record/2634642 |
_version_ | 1780959760244277248 |
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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"-- |
id | cern-2634642 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2013 |
publisher | Cambridge University Press |
record_format | invenio |
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 |