Tournaments and Orders with the Pigeonhole Property

Canadian mathematical bulletin

关键词: pigeonhole property;    tournament;    order;   

DOI  :  10.4153/CMB-2000-047-6

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

A binary structure $S$ has the pigeonhole property ($mathcal{P}$) ifevery finite partition of $S$ induces a block isomorphic to $S$. Weclassify all countable tournaments with ($mathcal{P}$); the class oforders with ($mathcal{P}$) is completely classified.

【 授权许可】

Unknown