9780691157757 - spaces of pl manifolds and categories of simple maps: 186 (annals of mathematics studies, 186) de waldhausen, friedhelm; jahren, bjørn; rognes, john (3 resultados)
Idioma: Inglés
Editorial: Princeton University Press 2013
Serie: Annals of Mathematics Studies, Libro 40 de 202. Libro 40 de 202 - Annals of Mathematics Studies
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Librería: Studibuch, Stuttgart, AlemaniaStudibuch
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EUR 154,40
Envío por EUR 80,70Se envía de Alemania a Estados Unidos de AmericaCantidad disponible: 1 disponibles
hardcover. Condición: Sehr gut. 184 Seiten; 9780691157757.2 Gewicht in Gramm: 500.
Idioma: Inglés
Editorial: Princeton University Press, US 2013
Serie: Annals of Mathematics Studies, Libro 40 de 202. Libro 40 de 202 - Annals of Mathematics Studies
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Librería: Rarewaves USA, OSWEGO, IL, Estados Unidos de AmericaRarewaves USA
Contactar con el vendedorVendedor de 5 estrellasCondición: Nuevo
EUR 242,55
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Hardback. Condición: New. Since its introduction by Friedhelm Waldhausen in the 1970s, the algebraic K-theory of spaces has been recognized as the main tool for studying parametrized phenomena in the theory of manifolds. However, a full proof of the equivalence relating the two areas has not appeared until now. This book present…s such a proof, essentially completing Waldhausen's program from more than thirty years ago. The main result is a stable parametrized h-cobordism theorem, derived from a homotopy equivalence between a space of PL h-cobordisms on a space X and the classifying space of a category of simple maps of spaces having X as deformation retract. The smooth and topological results then follow by smoothing and triangulation theory. The proof has two main parts. The essence of the first part is a "desingularization," improving arbitrary finite simplicial sets to polyhedra. The second part compares polyhedra with PL manifolds by a thickening procedure. Many of the techniques and results developed should be useful in other connections.
Idioma: Inglés
Editorial: Princeton University Press, US 2013
Serie: Annals of Mathematics Studies, Libro 40 de 202. Libro 40 de 202 - Annals of Mathematics Studies
- Tapa dura
Librería: Rarewaves USA United, OSWEGO, IL, Estados Unidos de AmericaRarewaves USA United
Contactar con el vendedorVendedor de 5 estrellasCondición: Nuevo
EUR 247,31
Envío por EUR 43,20Se envía dentro de Estados Unidos de AmericaCantidad disponible: 4 disponibles
Hardback. Condición: New. Since its introduction by Friedhelm Waldhausen in the 1970s, the algebraic K-theory of spaces has been recognized as the main tool for studying parametrized phenomena in the theory of manifolds. However, a full proof of the equivalence relating the two areas has not appeared until now. This book present…s such a proof, essentially completing Waldhausen's program from more than thirty years ago. The main result is a stable parametrized h-cobordism theorem, derived from a homotopy equivalence between a space of PL h-cobordisms on a space X and the classifying space of a category of simple maps of spaces having X as deformation retract. The smooth and topological results then follow by smoothing and triangulation theory. The proof has two main parts. The essence of the first part is a "desingularization," improving arbitrary finite simplicial sets to polyhedra. The second part compares polyhedra with PL manifolds by a thickening procedure. Many of the techniques and results developed should be useful in other connections.
