Prasolov developed from his seminars on topology for second-year graduate students at the Independent U. of Moscow, so his treatment of homology and cohomology takes a very structured form rather than emerging as a series of mathematical vignettes. Prasolov starts with the definition of simplicial homology and cohomology and backs this up with examples and applications, describes calculations, the Euler characteristic and the Lefschetz theorem. He then introduces cohomology rings in terms of the Kolmogotov-Alexander multiplication in cohomology, the homology and cohomology of manifolds, and the Künneth theorem, then turns to applications of simplicial homology, including homology's relationship with homotopy, characteristic classes, group actions and Stenrod squares, singular homology, Cech cohomology and de Rham cohomology. Other topics include the Alexander polynomial, the Arf invariant, embeddings and immersions, complex manifolds, Lie groups and H-spaces. Prasolov includes solutions for selected exercises. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)
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Book by V V Prasolov
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Condizione: Good. Volume 81. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,1000grams, ISBN:9780821838129. Codice articolo 9789675
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Condizione: New. Defines simplicial homology and cohomology, with various examples and applications. This book introduces Kolmogorov-Alexander multiplication in cohomology. It deals with the applications of simplicial homology and cohomology to obstruction theory, in particular, to characteristic classes of vector bundles. Series: Graduate Studies in Mathematics. Num Pages: 418 pages, illustrations. BIC Classification: PBPD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 186 x 262 x 26. Weight in Grams: 900. . 2007. Hardcover. . . . . Codice articolo V9780821838129
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Einband - fest (Hardcover). Condizione: New. Defines simplicial homology and cohomology, with various examples and applications. This book introduces Kolmogorov-Alexander multiplication in cohomology. It deals with the applications of simplicial homology and cohomology to obstruction theory, in partic. Codice articolo 595067999
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Hardcover. Condizione: Brand New. illustrated edition. 418 pages. 10.00x7.25x1.00 inches. In Stock. Codice articolo __0821838121
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Condizione: New. Defines simplicial homology and cohomology, with various examples and applications. This book introduces Kolmogorov-Alexander multiplication in cohomology. It deals with the applications of simplicial homology and cohomology to obstruction theory, in particular, to characteristic classes of vector bundles. Series: Graduate Studies in Mathematics. Num Pages: 418 pages, illustrations. BIC Classification: PBPD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 186 x 262 x 26. Weight in Grams: 900. . 2007. Hardcover. . . . . Books ship from the US and Ireland. Codice articolo V9780821838129
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Hardback. Condizione: New. New copy - Usually dispatched within 4 working days. 919. Codice articolo B9780821838129
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Da: Rarewaves.com UK, London, Regno Unito
Hardback. Condizione: New. illustrated Edition. 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. Codice articolo LU-9780821838129
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Condizione: New. pp. ix + 418 Illus. Codice articolo 7954434
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