Elements of homology Theory /
Prasolov, V. V.
Elements of homology Theory / V. V. Prasolov - Rhode Island : American Mathematical Society, ©2007. - ix, 418 p.: ill. ; 27 cm.
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
9780821838129
Homologie
Homologietheorie
514.23 / PRA
Elements of homology Theory / V. V. Prasolov - Rhode Island : American Mathematical Society, ©2007. - ix, 418 p.: ill. ; 27 cm.
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
9780821838129
Homologie
Homologietheorie
514.23 / PRA