Social choice models and topological dynamics

In this paper, we propose a topological social choice model in an equivariant setting. We generalize the Chichilnisky–Heal impossibility theorem to the realm of proper actions of almost-connected locally compact groups. We also improve one result stated in Juárez-Anguiano (Topol Appl 279:107246, 2020) about the preservation of equivariant ANR ’s by symmetric powers.