On the automorphism group of the universal homogeneous meet-tree

Itay Kaplan, Tomasz Rzepecki, Daoud Siniora

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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

Original languageAmerican English
Pages (from-to)1508-1540
Number of pages33
JournalJournal of Symbolic Logic
Issue number4
StatePublished - 1 Dec 2021

Bibliographical note

Funding Information:
We would like to thank Bruno Duchesne for letting us know of his work mentioned above and for his other comments. We would also like to thank the anonymous referee for their helpful remarks. The first author would like to thank the Israel Science Foundation for partial support of this research (grants no. 1533/14 and 1254/18). The second author is supported by the Narodowe Centrum Nauki grant no. 2016/22/E/ST1/00450 and the Lady Davis fellowship.

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