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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Countable homogeneous tournaments


Author: A. H. Lachlan
Journal: Trans. Amer. Math. Soc. 284 (1984), 431-461
MSC: Primary 05C20; Secondary 03C65
MathSciNet review: 743728
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Abstract: A tournament $ T$ is 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 $ {\aleph_0}$. Some analogous results for $ 2$-tournaments are obtained.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1984-0743728-1
Article copyright: © Copyright 1984 American Mathematical Society