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Tournaments and Orders with the Pigeonhole Property
Published online by Cambridge University Press: 20 November 2018
Abstract
A binary structure $S$ has the pigeonhole property $\left( P \right)$ if every finite partition of $S$ induces a block isomorphic to $S$. We classify all countable tournaments with $\left( P \right)$; the class of orders with $\left( P \right)$ is completely classified.
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- Copyright © Canadian Mathematical Society 2000
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