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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aCoherence in three-dimensional category theory /$fNick Gurski, University of Sheffield$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2013.
215   $a1 online resource (vii, 278 pages) $cdigital, PDF file(s)
225 1 $aCambridge tracts in mathematics ;$v201
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
311   $a1-107-03489-2 
311   $a1-107-32713-X 
320   $aIncludes bibliographical references and index.
327   $aIntroduction -- 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.
330   $aDimension three is an important test-bed for hypotheses in higher category theory and occupies something of a unique position in the categorical landscape. At the heart of matters is the coherence theorem, of which this book provides a definitive treatment, as well as covering related results. Along the way the author treats such material as the Gray tensor product and gives a construction of the fundamental 3-groupoid of a space. The book serves as a comprehensive introduction, covering essential material for any student of coherence and assuming only a basic understanding of higher category theory. It is also a reference point for many key concepts in the field and therefore a vital resource for researchers wishing to apply higher categories or coherence results in fields such as algebraic topology or theoretical computer science.
410  0$aCambridge tracts in mathematics ;$v201.
606   $aTricategories
615  0$aTricategories.
676   $a512/.55
700   $aGurski$b Nick$f1980-$01040911
801  0$bUkCbUP
801  1$bUkCbUP
906   $aBOOK
912   $a9910464661203321
996   $aCoherence in three-dimensional category theory$92464129
997   $aUNINA