Transactions of the American Mathematical Society Volume 2k4. Number 2. August I9k4 Countable Homogeneous Tournaments

@inproceedings{Lachlan2009TransactionsOT,
  title={Transactions of the American Mathematical Society Volume 2k4. Number 2. August I9k4 Countable Homogeneous Tournaments},
  author={Alistair H. Lachlan},
  year={2009}
}
A tournament Tis called homogeneous just in case every isomorphism of subtournaments of smaller cardinality can be lifted to an automorphism of T. It is shown that there are precisely three homogeneous tournaments of power N(). Some analogous results for 2-tournaments are obtained. In this paper we characterize countable tournaments which are homogeneous in the sense of Fraissé [1]. As far as we know, interest in such a characterization dates from 1976 when Woodrow showed in his dissertation… CONTINUE READING
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