The Jaworowski method in the problem of the preservation of extensor properties by an orbit functor (Q1810091)

By a method due to Jaworowski, the authors show an elegant proof of the following theorem of Antonyan: Theorem 1.1. If \(G\) is a compact Lie group and \(X\) is a metric \(G-A[N]E\) space, then the orbit space of \(X\) is an \(A[N]E\) space. They also remark that it is an open problem whether or not Theorem 1.1 is valid for all stratifiable spaces.