On the automorphism group of the universal homogeneous meet-tree

10 Apr 2019  ·  Itay Kaplan, Tomasz Rzepecki, Daoud Siniora ·

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

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Logic Group Theory 03C15, 03E15, 06A12, 20E08, 54H11, 20B27