Equivariant Singular Homology and Cohomology I

Equivariant Singular Homology and Cohomology I
Author :
Publisher : American Mathematical Soc.
Total Pages : 80
Release :
ISBN-10 : 9780821818565
ISBN-13 : 0821818562
Rating : 4/5 (562 Downloads)

Book Synopsis Equivariant Singular Homology and Cohomology I by : Sören Illman

Download or read book Equivariant Singular Homology and Cohomology I written by Sören Illman and published by American Mathematical Soc.. This book was released on 1975 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let G be a topological group. We construct an equivariant homology and equivariant cohomology theory, defined on the category of all G-pairs and G-maps, which both satisfy all seven equivariant Eilenberg-Steenrod axioms and have a given covariant and contravariant, respectively, coefficient system as coefficients. We also establish some further properties of these equivariant singular homology and cohomology theories, such as, a naturality property in the transformation group, transfer homomorphisms and a cup-product in equivariant singular cohomology with coefficients in a commutative ring coefficient system.


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