Document Type
Article
Publication Date
9-1-2017
Abstract
A topological space is well-filtered if any filtered family of compact sets with intersection in an open set must have some member of the family contained in the open set. This well-known and important property automatically satisfied in Hausdorff spaces assumes a life of its own in the T0-setting. Our main results focus on giving general sufficient conditions for a T0-space to be well-filtered, particularly the important case of directed complete partially ordered sets equipped with the Scott topology.
Publication Source (Journal or Book title)
Topology and its Applications
First Page
139
Last Page
144
Recommended Citation
Xi, X., & Lawson, J. (2017). On well-filtered spaces and ordered sets. Topology and its Applications, 228, 139-144. https://doi.org/10.1016/j.topol.2017.06.002
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