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 |
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Project book
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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 |
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| 514.2 MUN Elements of algebraic topology / | 514.2 SHA Basic algebraic topology / | 514.223 OMO Infinite-dimensional Lie groups / | 514.23 PRA Elements of homology Theory / | 514.3 STE Counterexamples in topology / | 514.72 NAS Differential Topology And Quantum Field Theory / | 514.74 AL-M Fixed point theory, variational analysis, and optimization / |
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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