Equivariant one-parameter deformations of associative algebra morphisms

Raj Bhawan Yadav

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Let $G$ be a topological group. We give the existence of an equivariant homology and 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. In the case that $G$ is a compact Lie group we also define equivariant $C W$ -complexes and mention some of their basic properties. The paper is a short abstract...