*Definition [#g494c4cf] A collection F of nonempty sets is a regular filter base provided that for all F_1 and F_2 in F there is some F_3 in F such that the closure of F_3 is contained in both of F_1 and F_2 *Reference [#y6fbb7a2] -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)