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starcompact

Last-modified: 2010-12-13 (月) 23:02:22

Definition 1 Edit

A space X is said to be starcompat if for every open cover U of X , there exists a finite subset B of X such that imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20St%28B%2c%5cmathcal%7bU%7d%29=X%5c%20%5ctext%7b%2c%20where%7d%5c%20St%28B%2c%5cmathcal%7bU%7d%29=%5cbigcup%5c%7bU%5cin%5cmathcal%7bU%7d:B%5ccap%20U%5cneq%5cemptyset%5c%7d%20%5c%5d%7d%25.png.

Definition 2 Edit

Same as 1 1/2-starcompact.

Property Edit

Reference Edit

  • Song, Yan-Kui(PRC-NJN-IMM),Remarks on K-starcompact spaces. (English summary),commun. Korean Math. Soc. 22 (2007), no. 4, 569--573.
  • 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.