Browsing by Subject "G-nerve"

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G-ANR's with homotopy trivial fixed point sets

Antonyan, SA (2007)

Let G be a compact group and X a G-ANR. Then X is a G-AR iff the H-fixed point set X-H is homotopy trivial for each closed subgroup H subset of G.
Orbit spaces and unions of equivariant absolute neighborhood extensors

Antonyan, SA (2005)

Let G be a locally compact Hausdorff group. We study orbit spaces and unions of equivariant absolute neighborhood extensors (G-ANEs) in the category of all proper G-spaces that are metrizable by a G-invariant metric. We ...
West's problem on equivariant hyperspaces and Banach-Mazur compacta

Antonyan, SA (2003)

Let G be a compact Lie group, X a metric G-space, and exp X the hyperspace of all nonempty compact subsets of X endowed with the Hausdorff metric topology and with the induced action of G. We prove that the following three ...
West's problem on equivariant hyperspaces and Banach-Mazur compacta (vol 355, pg 3379, 2003)

Antonyan, SA (2006)

Now showing items 1-4 of 4

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