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.
General
| Imprint: |
American Mathematical Society
|
| Country of origin: |
United States |
| Series: |
Graduate Studies in Mathematics |
| Release date: |
May 2007 |
| Authors: |
V. V. Prasolov
|
| Dimensions: |
186 x 262 x 26mm (L x W x T) |
| Format: |
Hardcover
|
| Pages: |
418 |
| Edition: |
illustrated Edition |
| ISBN-13: |
978-0-8218-3812-9 |
| Categories: |
Books
|
| LSN: |
0-8218-3812-1 |
| Barcode: |
9780821838129 |
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