On the automorphism group of the universal homogeneous meet-tree

Abstract

We show that the countable universal homogeneous meet-tree has a generic automorphism, but it does not have a generic pair of automorphisms.

arXiv comment33 pages (incl. references); very minor corrections, references and MSC update

References in corpus (3)

• The group of homeomorphisms of the Cantor set has ample generics
• Topological properties of Wazewski dendrite groups
• NIP omega-categorical structures: the rank 1 case

Cited by in corpus (1)

• Weakly binary expansions of dense meet-trees