Elements of homology Theory / V. V. Prasolov
Material type: TextLanguage: English Publication details: Rhode Island : American Mathematical Society, ©2007.Description: ix, 418 p.: ill. ; 27 cmISBN:- 9780821838129
- 22 514.23 PRA
Item type | Current library | Collection | Call number | Status | Notes | Date due | Barcode |
---|---|---|---|---|---|---|---|
Project book | CUTN Central Library Sciences | Non-fiction | 514.23 PRA (Browse shelf(Opens below)) | Checked out to Renuka Devi V (20019T) | Project Books | 31/01/2024 | 48900 |
1. Simplicial homology
2. Cohomology rings
3. Applications of simplicial homology
4. Singular homology
5. Čech cohomology and de Rham cohomology
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
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