Stable Modules and the D(2)-Problem - Couverture souple

Johnson, F.E. A.

Couverture souple

ISBN 10 : 0521537495 ISBN 13 : 9780521537490

Editeur : Cambridge University Press, 2003

Synopsis

This 2003 book deals with two fundamental problems in low-dimensional topology with an eye on wider context.

A propos du livre

Présentation de l'éditeur

This 2003 book is concerned with two fundamental problems in low-dimensional topology. Firstly, the D(2)-problem, which asks whether cohomology detects dimension, and secondly the realization problem, which asks whether every algebraic 2-complex is geometrically realizable. The author shows that for a large class of fundamental groups these problems are equivalent. Moreover, in the case of finite groups, Professor Johnson develops general methods and gives complete solutions in a number of cases. In particular, he presents a complete treatment of Yoneda extension theory from the viewpoint of derived objects and proves that for groups of period four, two-dimensional homotopy types are parametrized by isomorphism classes of projective modules. This book is carefully written with an eye on the wider context and as such is suitable for graduate students wanting to learn low-dimensional homotopy theory as well as established researchers in the field.

Revue de presse

"This book is well-written, nicely organized, and is a pleasure to read." Mathematical Reviews, American Mathematical Society

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2003
• Langue: anglais
• ISBN 10: 0521537495
• ISBN 13: 9780521537490
• Reliure: Broché
• Nombre de pages: 278
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France