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Displaying similar documents to “The Baum-Connes conjecture.”

Module structure in Conley theory with some applications

Zdzisław Dzedzej (2014)

Banach Center Publications

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A multiplicative structure in the cohomological version of Conley index is described following a joint paper by the author with K. Gęba and W. Uss. In the case of equivariant flows we apply a normalization procedure known from equivariant degree theory and we propose a new continuation invariant. The theory is applied then to obtain a mountain pass type theorem. Another illustrative application is a result on multiple bifurcations for some elliptic PDE.

Equivariant algebraic topology

Sören Illman (1973)

Annales de l'institut Fourier

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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...