Let G be a compact Lie group. We prove that a metrizable G-space X is a G-ANE (resp., a G-AE) iff X is an ANE (resp., an AE) and, for any closed subgroup H C G, the H-fixed point set X[H] is a strong neighborhood H-deformation ...

Extensorial properties of orbit spaces of locally compact proper group actions are investigated. (C) 1999 Elsevier Science B.V. All rights reserved.

Let G be a locally compact Hausdorff group. We study orbit spaces of equivariant absolute neighborhood extensors (G-ANE's) in the category of all proper G-spaces that are metrizable by a G-invariant metric. We prove that ...