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1. CMB 2000 (vol 43 pp. 397)

Bonato, Anthony; Cameron, Peter; Delić, Dejan
Tournaments and Orders with the Pigeonhole Property
A binary structure $S$ has the pigeonhole property ($\mathcal{P}$) if every finite partition of $S$ induces a block isomorphic to $S$. We classify all countable tournaments with ($\mathcal{P}$); the class of orders with ($\mathcal{P}$) is completely classified.

Keywords:pigeonhole property, tournament, order
Categories:05C20, 03C15

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