2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76399We use the compression theorem (arxiv:math.GT/9712235) cf section 7, to prove results for equivariant configuration spaces analogous to the well-known non-equivariant results of May, Milgram and Segal.This version incorporates changes suggested by the refereeGeometric Topology55P91, 55P35, 55P40; 57R91, 55P45, 55P47text