Order convergence and compactness

Details Order convergence and compactness Order convergence and compactness

2007-05-29

arxiv.org/abs/0705.4270v2

Mathematics

Logic

3 pages

Scientific paper

Let $(P,\leq)$ be a partially ordered set and let $\tau$ be a compact
topology on $P$ that is finer than the interval topology. Then $\tau$ is
contained in the order (convergence) topology on $(P,\tau)$. So any Priestley
topology is contained in the order topology.

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