Elements of Homology Theory: 81 (Graduate Studies in Mathematics) - Softcover

Prasolov, V. V.

Softcover

ISBN 10: 1470479761 ISBN 13: 9781470479763

Verlag: American Mathematical Society, 2007

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

V. V. Prasolov, Independent University of Moscow, Russia

Details zur Ausgabe

• Verlag: American Mathematical Society
• Erscheinungsdatum: 2007
• Sprache: Englisch
• ISBN 10: 1470479761
• ISBN 13: 9781470479763
• Einband: Tapa blanda
• Anzahl der Seiten: 418
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar