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nomally supercompact

Last-modified: 2015-12-24 (木) 21:32:26

Definition Edit

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 Edit

Reference Edit

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