## Ordered sets: proceedings of the NATO Advanced Study Institute held at Banff, Canada, August 28 to September 12, 1981 |

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algorithm Amer antichain arbitrary automorphism axiom Birkhoff Boolean algebra bounded cardinality characterization closure cofinal Cohen-Macaulay compact complemented complete lattice complete linear extension compute concept lattice conjecture construction contains continuous lattice countable Daykin decomposition defined denote Dilworth Dilworth's theorem dimension direct product Discrete Math disjoint distributive lattices domain Duffus elements embedding equivalent example finite lattice finite ordered sets finite set free lattice function geometry graph Hence homomorphic implies inequality infinite integer intersection interval orders irreducible isomorphic Kleitman lattice theory LEMMA lexicographic linear extension linear order Mathematics maximal chain minimal modular lattices obtained operations order types order-preserving ordinal pair partially ordered sets partition polynomial poset problem Proc proof proved rank relation representation result retract Rival Russian satisfies scheduling semilattice sequence space Sperner Sperner's Theorem structure sublattice subset Suppose theorem topology Trotter uncountable unique Univ vector