Abstract
We show that the countable universal homogeneous meet-tree has a generic automorphism, but it does not have a generic pair of automorphisms.
| Original language | English |
|---|---|
| Pages (from-to) | 1508-1540 |
| Number of pages | 33 |
| Journal | Journal of Symbolic Logic |
| Volume | 86 |
| Issue number | 4 |
| DOIs | |
| State | Published - 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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