LEADER 00000cam a2200685Ia 4500 001 ocm00000009 003 OCoLC 005 20190405013800.1 006 m o d 007 cr cnu---unuuu 008 130314s2013 enka ob 001 0 eng d 019 829459928|a858995457|a889948734|a1066434770 020 9781107336896|q(electronic book) 020 1107336899|q(electronic book) 020 9781139542333|q(electronic book) 020 1139542338|q(electronic book) 020 9781107327139 020 110732713X 020 |z9781107034891 020 |z1107034892 020 |z9781107335233 020 |z110733523X 035 (OCoLC)830001169|z(OCoLC)829459928|z(OCoLC)858995457 |z(OCoLC)889948734|z(OCoLC)1066434770 037 CL0500000298|bSafari Books Online 040 N$T|beng|epn|cN$T|dOCLCO|dEBLCP|dOCLCO|dYDXCP|dDEBSZ |dCAMBR|dCDX|dE7B|dUMI|dLRU|dOCLCQ|dOCLCF|dEUX|dUKBOL |dOCLCQ|dUAB|dOCLCQ|dCEF|dWYU 049 RIDW 050 4 QA169|b.G87 2013eb 072 7 MAT|x002050|2bisacsh 082 04 512/.55|223 084 MAT018000|2bisacsh 090 QA169|b.G87 2013eb 100 1 Gurski, Nick,|d1980-|0https://id.loc.gov/authorities/names /n2013005857 245 10 Coherence in three-dimensional category theory /|cNick Gurski, University of Sheffield. 264 1 Cambridge :|bCambridge University Press,|c2013. 300 1 online resource (vii, 278 pages) :|billustrations. 336 text|btxt|2rdacontent 337 computer|bc|2rdamedia 338 online resource|bcr|2rdacarrier 340 |gpolychrome|2rdacc 347 text file|2rdaft 490 1 Cambridge tracts in mathematics ;|v201 504 Includes bibliographical references and index. 505 0 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. 520 "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 "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. 588 0 Print version record. 590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic Collection - North America 650 0 Tricategories.|0https://id.loc.gov/authorities/subjects/ sh95004189 650 7 Tricategories.|2fast|0https://id.worldcat.org/fast/1156530 655 0 Electronic book. 655 4 Electronic books. 776 08 |iPrint version:|aGurski, Nick, 1980-|tCoherence in three- dimensional category theory.|dCambridge : Cambridge University Press, 2013|z9781107034891|w(DLC) 2012051079 |w(OCoLC)813938959 830 0 Cambridge tracts in mathematics ;|0https://id.loc.gov/ authorities/names/n42005726|v201. 856 40 |uhttps://rider.idm.oclc.org/login?url=http:// search.ebscohost.com/login.aspx?direct=true&scope=site& db=nlebk&AN=539308|zOnline eBook via EBSCO. Access restricted to current Rider University students, faculty, and staff. 856 42 |3Instructions for reading/downloading the EBSCO version of this eBook|uhttp://guides.rider.edu/ebooks/ebsco 901 MARCIVE 20231220 948 |d20190507|cEBSCO|tEBSCOebooksacademic NEW 4-5-19 7552 |lridw 994 92|bRID