Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Countable homogeneous tournaments
HTML articles powered by AMS MathViewer

by A. H. Lachlan PDF
Trans. Amer. Math. Soc. 284 (1984), 431-461 Request permission

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.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 05C20, 03C65
  • Retrieve articles in all journals with MSC: 05C20, 03C65
Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 284 (1984), 431-461
  • MSC: Primary 05C20; Secondary 03C65
  • DOI: https://doi.org/10.1090/S0002-9947-1984-0743728-1
  • MathSciNet review: 743728