Partial Orders in Topological Spaces
If P is a partially ordered set that has also been given the structure of a topological space, then it is customary to assume that {(a, b) : a ≤ b} is a closed subset of the topological product space . Under this assumption partial order relations are well behaved at limits in the sense that if, and ai ≤ bi for all i, then a ≤ b.
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Famous quotes containing the words partial, orders and/or spaces:
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—Avrum Stroll (b. 1921)
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“through the spaces of the dark
Midnight shakes the memory
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