countably absolutely countably compact

Last-modified: 2010-12-02 (木) 21:58:59

Definition

  • A space X is countably absolutely countably compact ( = countably acc) if for every countable open cover U of X and every dense subspace D of X , there exists a finite subset B of D such that imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20St%28B%2c%5cmathcal%7bU%7d%29=X%20%5c%5d%7d%25.png .

Remark

Reference

  • Song, Yan-Kui(J-SHIZS), Countable star-covering properties. (English summary) Research in general and geometric topology (Japanese) (Kyoto, 1999), Sūrikaisekikenkyūsho Kōkyūroku No. 1126 (2000), 79--87.