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

2012/10/25 by Kwiatkowska, Aleksandra
#FOS: Mathematics #General Topology (math.GN) #Logic (math.LO)

paper · doi:10.48550/arxiv.1210.6709

Abstract

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

Related

• Homeomorphisms of continua through projective Fraïssé limits
• Direct limits of large orbits and the Knaster continuum homeomorphism group
• Ordered structures and large conjugacy classes
• Finite orbits for large groups of automorphisms of projective surfaces
• Finite groups with a large automorphism orbit