Partially ordered space

In mathematics, a partially ordered space (or pospace) is a topological space $X$ equipped with a closed partial order $\leq$ , i.e. a partial order whose graph $\{(x, y) \in X^2 | x \leq y\}$ is a closed subset of $X^2$ .

From pospaces, one can define dimaps, i.e. continuous maps between pospaces which preserve the order relation.

单词	Partially ordered space
释义	Partially ordered space 英语百科 Partially ordered space In mathematics, a partially ordered space (or pospace) is a topological space $X$ equipped with a closed partial order $\leq$ , i.e. a partial order whose graph $\{(x, y) \in X^2 \| x \leq y\}$ is a closed subset of $X^2$ . From pospaces, one can define dimaps, i.e. continuous maps between pospaces which preserve the order relation.
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