PlanetMath: dense (in a poset)

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dense (in a poset)

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If $(P,\leq)$ is a poset then a subset $Q\subseteq P$ is dense if for any $p\in P$ there is some $q\in Q$ such that $q\leq p$ .

"dense (in a poset)" is owned by Henry.

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See Also: dense set

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Cross-references: dense, subset, poset
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This is version 1 of dense (in a poset), born on 2002-08-12.
Object id is 3288, canonical name is DenseInAPoset.
Accessed 2497 times total.

Classification:

06A99 (Order, lattices, ordered algebraic structures :: Ordered sets :: Miscellaneous)

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