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cs-starcompact

Last-modified: 2010-12-01 (水) 01:35:31

Definition Edit

  • A space X is cs-starcompact if for every open cover U of X, there exists a convergent sequence S of X such that imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20St%28S%2c%5cmathcal%7bU%7d%29=X%20%5c%5d%7d%25.png, where imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5cdisplaystyle%20St%28S%2c%5cmathcal%7bU%7d%29=%5cbigcup%5c%7bU%5cin%5cmathcal%7bU%7d:%20U%5ccap%20S%5cneq%5cemptyset%5c%7d%20%5c%5d%7d%25.png

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.