nomally supercompact

Definition

A Hausdorff space is called normally supercompact if there exists some subbase S which satisfies:

1. Every cover of X by elements of S has a subbase which consists of at most two elements.
2. Whenever two elements {A,B} of S cover X, there exist two disjoint elements {C,D} of S such that A∪C=B∪D=X.

Remark

• Abbreviated to NS compact.

Reference

Zhongqiang Yang, Normally supercompact spaces and completely distributive poset, 数理解析研究所講究録 (RIMS Kokyuroku), 1107: 32-40.