Definition
A topological space X is called base-compact if there is a Base for the open sets of X such that for every subfamily C of B with fip, the closures of the members of C have a nonempty intersection.
Reference
- H. Bennett and D. J. Lutzer, Strong completeness properties in topology, Questions and Answers in General Topology, 27(2009), 107-124.
- http://www.math.wm.edu/~lutzer/drafts/BigBushes.pdf (preprint)