Top > 1 1 > 2-starcompact
HTML convert time to 0.055 sec.


1 1/2-starcompact

Last-modified: 2010-11-27 (土) 17:20:27

Definition Edit

  • A space X is imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5c!_%7b1%5cfrac%7b1%7d%7b2%7d%7d%20%5c%5d%7d%25.png-starcompact if for every open cover U of X, there exists a finite subfamily V of U such that imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5cdisplaystyle%20St%28%5ccup%5cmathcal%7bV%7d%2c%5cmathcal%7bU%7d%29=X%20%5c%5d%7d%25.png, where imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5cdisplaystyle%20St%28%5ccup%5cmathcal%7bV%7d%2c%5cmathcal%7bU%7d%29=%5cbigcup%5c%7bU%5cin%5cmathcal%7bU%7d%7c%20U%5ccap%28%5ccup%5cmathcal%7bV%7d%29%5cneq%5cemptyset%5c%7d%20%5c%5d%7d%25.png

Remark 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.