Partially Ordered Set - Partial Orders in Topological Spaces

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) : ab} 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 aibi for all i, then ab.

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