preorthocompact

Last-modified: 2010-12-30 (木) 22:26:45

Definition

A regular Hausdorff space X is preorthocompact iff for each open cover C of X, there is a reflexive relation V on X such that for each x in X, V(x) is open and imgtex.fcgi?%5bres=100%5d%7b$V%5ccirc%20V%28x%29$%7d%25.png is a subset of some member of C.

Reference

  • Hans-Peter Kunzi and Peter Fletcher, Some Questions Related to Almost 2-Fully Normal Spaces, Rocky Mountain J. Math. Vol.15 (Nov. 1985).