EQUIVARIANT PROPERTIES OF THE SPACE Z(X) FOR A STRATIFIABLE SPACE X

Abstract

In this paper, we prove the action of the compact group G defined by the stratified space X is continuous to the space Z(X) being a stratified space containing the self-stratified space X as a closed subset. An equivariant analogue of some results of R. Cauty concerning A(N)R(S) spaces is proved. It is presented that the orbit space Z(X)/G by the action of the group G is a S space.