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On the automorphism group of the universal homogeneous meet-tree

Authors :
Kaplan, Itay
Rzepecki, Tomasz
Siniora, Daoud
Source :
The Journal of Symbolic Logic 86.4 (December 2021), pp. 1508-1540
Publication Year :
2019

Abstract

We show that the countable universal homogeneous meet-tree has a generic automorphism, but it does not have a generic pair of automorphisms.<br />Comment: 33 pages (incl. references); very minor corrections, references and MSC update

Details

Database :
arXiv
Journal :
The Journal of Symbolic Logic 86.4 (December 2021), pp. 1508-1540
Publication Type :
Report
Accession number :
edsarx.1904.05144
Document Type :
Working Paper
Full Text :
https://doi.org/10.1017/jsl.2021.9