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}
}
  • Carl Mummert, F. Stephan
  • Published 2010
  • Mathematics
  • Michigan Mathematical Journal
  • 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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