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Catalogue Information
Field name	Details
Dewey Class	514.2
Title	Simplicial Homotopy Theory ([EBook]) / by Paul G. Goerss, John F. Jardine.
Author	Goerss, Paul Gregory
Added Personal Name	Jardine, John F.
Other name(s)	SpringerLink (Online service)
Publication	Basel : Birkhäuser , 1999.
Physical Details	XV, 510 pages : online resource.
Series	Progress in mathematics 0743-1643 ; ; 174
ISBN	9783034887076
Contents note	I Simplicial sets -- 1. Basic definitions -- 2. Realization -- 3. Kan complexes -- 4. Anodyne extensions -- 5. Function complexes -- 6. Simplicial homotopy -- 7. Simplicial homotopy groups -- 8. Fundamental groupoid -- 9. Categories of fibrant objects -- 10. Minimal fibrations -- 11. The closed model structure -- II Model Categories -- 1. Homotopical algebra -- 2. Simplicial categories -- 3. Simplicial model categories -- 4. The existence of simplicial model category structures -- 5. Examples of simplicial model categories -- 6. A generalization of Theorem 4.1 -- 7. Quillen’s total derived functor theorem -- 8. Homotopy cartesian diagrams -- III Classical results and constructions -- 1. The fundamental groupoid, revisited -- 2. Simplicial abelian groups -- 3. The Hurewicz map -- 4. The Ex? functor -- 5. The Kan suspension -- IV Bisimplicial sets -- 1. Bisimplicial sets: first properties -- 2. Bisimplicial abelian groups -- 3. Closed model structures for bisimplicial sets -- 4. The Bousfield-Friedlander theorem -- 5. Theorem B and group completion -- V Simplicial groups -- 1. Skeleta -- 2. Principal fibrations I: simplicial G-spaces -- 3. Principal fibrations II: classifications -- 4. Universal cocycles and$\bar W
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-0348-8707-6
Links to Related Works	Subject References: Algebraic Topology . Homotopy theory . Mathematics . Topology . Authors: author . Goerss, Paul Gregory . Jardine, John F. . Corporate Authors: SpringerLink (Online service) . Series: Progress in mathematics . Classification: 514.2 . 514.2 (DDC 22) .

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Simplicial Homotopy Theory

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