000			03200nam a2200373Ii 4500
001			ocn830001169
003			OCoLC
005			20240726105340.0
008			130314s2013 enk o 001 0 eng d
040			_aNT _beng _erda _cNT
020			_a9781107336896 _q((electronic)l(electronic)ctronic)l((electronic)l(electronic)ctronic)ctronic bk.
050	0	4	_aQA169 _b.C644 2013
049			_aNTA
100	1		_aGurski, Nick, _d1980- _e1
245	1	0	_aCoherence in three-dimensional category theoryNick Gurski, University of Sheffield.
260			_aCambridge : _bCambridge University Press, _c(c)2013.
300			_a1 online resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_adata file _2rda
490	1		_aCambridge tracts in mathematics ; _v201
504			_a2
520	0		_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"-- _cProvided by publisher.
520	0		_a"In the study of higher categories, dimension three occupies an interesting position on the landscape of higher dimensional category theory. From the perspective of a "hands-on" approach to defining weak n-categories, tricategories represent the most complicated kind of higher category that the community at large seems comfortable working with. "-- _cProvided by publisher.
505	0	0	_aMachine generated contents note: Introduction; Part I. Background: 1. Bicategorical background; 2. Coherence for bicategories; 3. Gray-categories; Part II. Tricategories: 4. The algebraic definition of tricategory; 5. Examples; 6. Free constructions; 7. Basic structure; 8. Gray-categories and tricategories; 9. Coherence via Yoneda; 10. Coherence via free constructions; Part III. Gray monads: 11. Codescent in Gray-categories; 12. Codescent as a weighted colimit; 13. Gray-monads and their algebras; 14. The reflection of lax algebras into strict algebras; 15. A general coherence result; Bibliography; Index.
530			_a2 _ub
650		0	_aTricategories.
655		1	_aElectronic Books.
856	4	0	_uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=539308&site=eds-live&custid=s3260518 _zClick to access digital title | log in using your CIU ID number and my.ciu.edu password
942			_cOB _D _eEB _hQA _m2013 _QOL _R _x _8NFIC _2LOC
994			_a02 _bNT
999			_c97385 _d97385
902			_a1 _bCynthia Snell _c1 _dCynthia Snell