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|a 9781139542333 (ebook)
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|z 9781107034891 (hardback)
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|a Gurski, Nick,
|d 1980-
|e author.
|0 http://id.loc.gov/authorities/names/n2013005857
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| 245 |
1 |
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|a Coherence in three-dimensional category theory /
|c Nick Gurski, University of Sheffield.
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| 264 |
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1 |
|a Cambridge :
|b Cambridge University Press,
|c 2013.
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| 300 |
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|a 1 online resource (vii, 278 pages) :
|b digital, PDF file(s).
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|a Cambridge tracts in mathematics ;
|v 201
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|a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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| 505 |
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|a 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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| 520 |
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|a 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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| 650 |
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|a Tricategories.
|0 http://id.loc.gov/authorities/subjects/sh95004189
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| 776 |
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|i Print version:
|a Gurski, Nick, 1980-
|t Coherence in three-dimensional category theory
|z 9781107034891.
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| 830 |
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|a Cambridge tracts in mathematics ;
|v 201.
|0 http://id.loc.gov/authorities/names/n42005726
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