Two classes of oligomorphic groups with smooth topological isomorphism
relation
Two classes of oligomorphic groups with smooth topological isomorphism
relation
It is an open question whether topological isomorphism of oligomorphic groups is smooth in the sense of Borel reducibility. We show smoothness for two Borel classes of oligomorphic groups: groups with no algebraicity, and groups with finitely many {\em essential} subgroups up to conjugacy. This second class, which is new, …