Large orbits, projective Fraisse limits, and the pseudo-arc

Abstract

We show that the conjugacy action of the automorphism group $\mathrm{Aut}(\mathbb{P})$, of the projective Fraïssé limit $\mathbb{P}$, whose natural quotient is the pseudo-arc, on the set of involutions of $\mathbb{P}$, has a comeager orbit.

Statement of Theorem 1.7 is corrected