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Elements of Homology Theory






Pub Date: 
Publisher:  American Mathematical Society
Summary: 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.

Prasolov, V. V. is the author of Elements of Homology Theory, published 2007 under ISBN 9780821838129 and 0821838121. One hundred one Elements of Homology Theory textbooks are available for sale on ValoreBooks.com, one used from the cheapest price of $65.13, or buy new starting at $54.29.
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Elements of Homology Theory

ISBN-13: 9780821838129

ISBN: 0821838121

Pub Date:
Publisher: American Mathematical Society
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