# Topological aspects of Poset spaces

@article{Mummert2010TopologicalAO, title={Topological aspects of Poset spaces}, author={Carl Mummert and F. Stephan}, journal={Michigan Mathematical Journal}, year={2010}, volume={59}, pages={3-24} }

We study two classes of spaces whose points are filters on partially ordered sets. Points in MF spaces are maximal filters, while points in UF spaces are unbounded filters. We give a thorough account of the topological properties of these spaces. We obtain a complete characterization of the class of countably based MF spaces: they are precisely the second-countable T_1 spaces with the strong Choquet property. We apply this characterization to domain theory to characterize the class of second… CONTINUE READING

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