On the relations between abstract and geometrical equivalence of abstract objects
Mieczysław Kucharzewski, Brunon Szociński, Marek Żabka (1990)
Annales Polonici Mathematici
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Mieczysław Kucharzewski, Brunon Szociński, Marek Żabka (1990)
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We introduce equivariant formal deformation theory of associative algebra morphisms. We also present an equivariant deformation cohomology of associative algebra morphisms and using this we study the equivariant formal deformation theory of associative algebra morphisms. We discuss some examples of equivariant deformations and use the Maurer-Cartan equation to characterize equivariant deformations.
Stratos Prassidis (1995)
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Let be a topological group. We give the existence of an equivariant homology and cohomology theory, defined on the category of all -pairs and -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 is a compact Lie group we also define equivariant -complexes and mention some of their basic properties. The paper is a short abstract...