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Preprint Number 1627

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1627. Itay Kaplan, Tomasz Rzepecki, Daoud Siniora
On the automorphism group of the universal homogeneous meet-tree

Submission date: 16 April 2019


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

Mathematics Subject Classification: 03C15, 03E15, 06A12, 20E08, 54H11, 20B27

Keywords and phrases: Fraïssé limit, generic automorphism, tree, Polish group, ample generics

Full text arXiv 1904.05144: pdf, ps.

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