Ends of Complexes - Couverture souple

Hughes, Bruce

Couverture souple

ISBN 10 : 0521055199 ISBN 13 : 9780521055192

Editeur : Cambridge University Press, 2008

Synopsis

A systematic exposition of the theory and practice of ends of manifolds and CW complexes, not previously available.

A propos du livre

Présentation de l'éditeur

The ends of a topological space are the directions in which it becomes non-compact by tending to infinity. The tame ends of manifolds are particularly interesting, both for their own sake, and for their use in the classification of high-dimensional compact manifolds. The book is devoted to the related theory and practice of ends, dealing with manifolds and CW complexes in topology and chain complexes in algebra. The first part develops a homotopy model of the behaviour at infinity of a non-compact space. The second part studies tame ends in topology. Tame ends are shown to have a uniform structure, with a periodic shift map. Approximate fibrations are used to prove that tame manifold ends are the infinite cyclic covers of compact manifolds. The third part translates these topological considerations into an appropriate algebraic context, relating tameness to homological properties and algebraic K- and L-theory.

Revue de presse

'The book gathers together the main strands of the theory of ends of manifolds from the last thirty years and presents a unified and coherent treatment of them. It also contains authoritative expositions of certain topics in topology such as mapping tori and telescopes, often omitted from textbooks. It is thus simultaneously a research monograph and a useful reference.' Proceedings of the Edinburgh Mathematical Society

'This is a highly specialized monograph which is very clearly written and made as accessible for the reader as possible ... It is absolutely indispensable for any specialist in the field.' European Mathematical Society

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2008
• Langue: anglais
• ISBN 10: 0521055199
• ISBN 13: 9780521055192
• Reliure: Broché
• Nombre de pages: 380
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France