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If {X,R} is a Partially Ordered Set, then {X,R(inverse)} is also a Partially Ordered Set.

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If {X,R} is a Partially Ordered Set, then {X,R(inverse)} is also a Partially Ordered Set.

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An antichain is a subset of a partially ordered set such that any two elements in the subset are incomparable.

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It is a partially ordered set. That means it is a set with the following properties: a binary relation that is 1. reflexive 2. antisymmetric 3. transitive a totally ordered set has totality which means for every a and b in the set, a< or equal to b or b< or equal to a. Not the case in a poset. So a partial order does NOT have totality.

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$p(n)\,=\,2^{n^2/4+3n/2+O(\log_2n)}$

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Vasco d'Orey has written:

'Fixed point theorems for correspondences with values in a partially ordered set and extended supermodular games'

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