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almost countably base-compact

Last-modified: 2011-03-22 (火) 21:00:19

Definition Edit

A quasi-regular space X (i.e. for every nonempty open subset U, there is a nonempty open subset V whose closure is contained in U) is called almost countably base-compact if there is a π-base B of X such that for every countable subfamily C of B with fip, the closures of the members of C have a nonempty intersection.

Remark Edit

Reference Edit

  • Jiling Cao and Heikki J. K. Junnila, Amsterdam Properties of Wijsman hyperspaces, Proc. Amer. Math. Soc. Vol.138, No.2 (2010), pp.769-776.