Browsing Matemáticas by Author "Elfving, E"

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Adjunction spaces and unions of G-ANE's

Elfving, E; Mata-Romero, A; Antonyan, SA (2002)

Let G be a locally compact Hausdorff group. We study adjunction spaces and unions of equivariant absolute neighborhood extensors (G-ANE's) in the category of all proper G-spaces that axe metrizable by G-invariant metrics. ...
The equivariant homotopy type of G-ANR's for compact group actions

Antonyan, SA; Elfving, E (2007)

We prove that if G is a compact Hausdorff group then every G-ANR has the G-homotopy type of a G-CW complex. This is applied to extend the James-Segal G-homotopy equivalence theorem to the case of arbitrary compact group actions.

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