科研之友
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摘要
In this paper, we prove the following statements: (1) For every regular uncountable cardinal kappa, there exist a Tychonoff space X and Y a subspace of X such that Y is both relatively absolute star-Lindelof and relative property (a) in X and e(Y, X) >=, kappa, but Y is not strongly relative star-Lindelof in X and X is not star-Lindelof. (2) There exist a Tychonoff space X and a subspace Y of X such that Y is strongly relative star-Lindelof in X (hence, relative star-Lindelof), but Y is not absolutely relative star-Lindelof in X.
- 出版日期2007
- 单位南京师范大学
