ENGLISH

Elements of Homology Theory

By V. V. Prasolov

Book information

Publisher
American Mathematical Society
Year
2007
ISBN
0821838121, 9780821838129
Language
english
Format
PDF
Filesize
10 MB (10742694 bytes)
Series
Graduate Studies in Mathematics 81
Pages
x+418\432
DPI
300
Orientation
portrait
Paginated
yes
Scanned
yes
Time added
2015-06-02 07:00:57

Description

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.

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