Tournaments and Orders with the Pigeonhole Property
Canadian mathematical bulletin, Tome 43 (2000) no. 4, pp. 397-405

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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.
DOI : 10.4153/CMB-2000-047-6
Mots-clés : 05C20, 03C15, pigeonhole property, tournament, order
Bonato, Anthony; Cameron, Peter; Delić, Dejan. Tournaments and Orders with the Pigeonhole Property. Canadian mathematical bulletin, Tome 43 (2000) no. 4, pp. 397-405. doi: 10.4153/CMB-2000-047-6
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     title = {Tournaments and {Orders} with the {Pigeonhole} {Property}},
     journal = {Canadian mathematical bulletin},
     pages = {397--405},
     year = {2000},
     volume = {43},
     number = {4},
     doi = {10.4153/CMB-2000-047-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-047-6/}
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