Topology Proceedings 26 No. 1 (2001-2002), pp. 1-28
Adjunction spaces and unions of G-ANE's
Sergey Antonyan, Erik Elfving and Armando Mata-Romero
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 are metrizable by G-invariant metrics. We establish
equivariant versions of the Borsuk-Whitehead-Hanner Theorem and of the
Kodama Theorem. As an application, we prove that every proper G-CW
complex is a G-ANE provided G is a Lie group.
