Strong Shape and Homology - Couverture rigide

Mardesic, Sibe

Couverture rigide

ISBN 10 : 3540661980 ISBN 13 : 9783540661986

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1999

Synopsis

Shape theory is an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces. Besides applications in topology, it has interesting applications in various other areas of mathematics, especially in dynamical systems and C*-algebras. Strong shape is a refinement of ordinary shape with distinct advantages over the latter. Strong homology generalizes Steenrod homology and is an invariant of strong shape. The book gives a detailed account based on approximation of spaces by polyhedra (ANR's) using the technique of inverse systems. It is intended for researchers and graduate students. Special care is devoted to motivation and bibliographic notes.

A propos du livre

Présentation de l'éditeur

Shape theory, an extension of homotopy theory from the realm of Cw-complexes to arbitrary spaces, was introduced by Borsuk 30 years ago and Mardesic contributed greatly to it. One expert says: "If we need a book in the field, this is it! It is thorough, careful and complete."

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 1999
• Langue: anglais
• ISBN 10: 3540661980
• ISBN 13: 9783540661986
• Reliure: Relié
• Nombre de pages: 501
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne