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008 150903s2009 sz | o |||| 0|eng d
020 _a9783034601894
_99783034601894
024 7 _a10.1007/9783034601894
_2doi
035 _avtls000345185
039 9 _a201509030410
_bVLOAD
_c201405050317
_dVLOAD
_y201402061330
_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA1-939
100 1 _aGoerss, Paul G.
_eautor
_9325850
245 1 0 _aSimplicial Homotopy Theory /
_cby Paul G. Goerss, John F. Jardine.
264 1 _aBasel :
_bBirkhäuser Basel,
_c2009.
300 _a510 páginas
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aModern Birkhäuser Classics
500 _aSpringer eBooks
505 0 _aSimplicial sets -- Model Categories -- Classical results and constructions -- Bisimplicial sets -- Simplicial groups -- The homotopy theory of towers -- Reedy model categories -- Cosimplicial spaces: applications -- Simplicial functors and homotopy coherence -- Localization.
520 _aSince the beginning of the modern era of algebraic topology, simplicial methods have been used systematically and effectively for both computation and basic theory. With the development of Quillen's concept of a closed model category and, in particular, a simplicial model category, this collection of methods has become the primary way to describe non-abelian homological algebra and to address homotopy-theoretical issues in a variety of fields, including algebraic K-theory. This book supplies a modern exposition of these ideas, emphasizing model category theoretical techniques. Discussed here are the homotopy theory of simplicial sets, and other basic topics such as simplicial groups, Postnikov towers, and bisimplicial sets. The more advanced material includes homotopy limits and colimits, localization with respect to a map and with respect to a homology theory, cosimplicial spaces, and homotopy coherence. Interspersed throughout are many results and ideas well-known to experts, but uncollected in the literature. Intended for second-year graduate students and beyond, this book introduces many of the basic tools of modern homotopy theory. An extensive background in topology is not assumed. Reviews: "… a book filling an obvious gap in the literature and the authors have done an excellent job on it. No monograph or expository paper has been published on this topic in the last twenty-eight years." - Analele Universitatii din Timisoara "… is clearly presented and a brief summary preceding every chapter is useful to the reader. The book should prove enlightening to a broad range of readers including prospective students and researchers who want to apply simplicial techniques for whatever reason." - Zentralblatt MATH "… they succeed. The book is an excellent account of simplicial homotopy theory from a modern point of view […] The book is well written. […] The book can be highly recommended to anybody who wants to learn and to apply simplicial techniques and/or the theory of (simplicial) closed model categories." - Mathematical Reviews
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700 1 _aJardine, John F.
_eautor
_9325851
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9783034601887
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-0346-0189-4
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942 _c14
999 _c293340
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