Elements of Homology Theory - Couverture rigide

Livre 68 sur 190: Graduate Studies in Mathematics

Prasolov, V.V.

 
9780821838129: Elements of Homology Theory
Couverture rigide
ISBN 10 : 0821838121 ISBN 13 : 9780821838129
Editeur : American Mathematical Society, 2007

Synopsis

The book is a continuation of the previous book by the author (Elements of Combinatorial and Differential Topology, Graduate Studies in Mathematics, Volume 74, American Mathematical Society, 2006). It starts with the definition of simplicial homology and cohomology, with many examples and applications. Then the Kolmogorov-Alexander multiplication in cohomology is introduced. A significant part of the book is devoted to applications of simplicial homology and cohomology to obstruction theory, in particular, to characteristic classes of vector bundles. The later chapters are concerned with singular homology and cohomology, and Cech and de Rham cohomology. The book ends with various applications of homology to the topology of manifolds, some of which might be of interest to experts in the area. The book contains many problems; almost all of them are provided with hints or complete solutions.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2007
Langue
anglais
ISBN 10 
0821838121
ISBN 13 
9780821838129
Reliure
Relié
Nombre de pages
418
Coordonnées du fabricant
non disponible
Personne responsable
non disponible