Simplicial Homotopy Theory: Modern Birkhäuser Classics
Autor Paul G. Goerss, John F. Jardineen Limba Engleză Paperback – 2 oct 2009
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 bookis 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
Toate formatele și edițiile | Preț | Express |
---|---|---|
Paperback (2) | 737.89 lei 43-57 zile | |
Birkhäuser Basel – 14 oct 2012 | 737.89 lei 43-57 zile | |
Birkhäuser Basel – 2 oct 2009 | 900.94 lei 43-57 zile |
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Specificații
ISBN-13: 9783034601887
ISBN-10: 3034601883
Pagini: 528
Ilustrații: XVI, 510 p.
Dimensiuni: 155 x 235 x 33 mm
Greutate: 0.73 kg
Ediția:2010
Editura: Birkhäuser Basel
Colecția Birkhäuser
Seria Modern Birkhäuser Classics
Locul publicării:Basel, Switzerland
ISBN-10: 3034601883
Pagini: 528
Ilustrații: XVI, 510 p.
Dimensiuni: 155 x 235 x 33 mm
Greutate: 0.73 kg
Ediția:2010
Editura: Birkhäuser Basel
Colecția Birkhäuser
Seria Modern Birkhäuser Classics
Locul publicării:Basel, Switzerland
Public țintă
ResearchCuprins
Simplicial 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.
Recenzii
From 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
"… 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
Caracteristici
Introduces many of the basic tools of modern homotopy theory. An extensive background in topology is not assumed Includes supplementary material: sn.pub/extras