| 关于CF集族和g—度量性 |
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| 引用本文： | 葛英.关于CF集族和g—度量性[J].苏州大学学报(医学版),1997,13(2):44-48. |
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| 作者姓名： | 葛英 |
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| 作者单位： | 苏州丝绸工学院基础课部 苏州，215O21 |
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| 摘 要： | 本文证明了具有ＣＦ性的半分层、ｋ－空间是σ空间。此外还证明了，对于Ｘ中子集族，，ＨＣＦ＝ＣＦ＝ＨＣＦ；对于ｋ－空间Ｘ中闭集族，ＨＣＰ＝ＷＨＣＰ＝ＣＦ；对于ｋ－空间Ｘ中子集族，ＨＣＰ＝ＷＨＣＰ＝ＣＦ，利用上述结果，本文给出了ｇ－度量性的一些等价刻划。
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| 关 键 词： | CF集族 半分层空间 g－度量性 σ空间 |
ON CF FAMILIES AND g-METRIZABILITY |
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| Ge Ying.ON CF FAMILIES AND g-METRIZABILITY[J].Journal of Suzhou University(Natural Science),1997,13(2):44-48. |
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| Authors: | Ge Ying |
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| Abstract: | In this paper, we obtain following results (1) A k - space X is a a- space if and only if X is a scmistratifiable space with ( CF) property. (2) For afamily of subsets of a k'- space X, HCP & WIICP CF . (3) For a family ofclosed subsets of a k-space X, HCP WHCP CF. (4) For a family of subsetsof a space X, HCF CF HCF . Also we characterize g-metrizability by usingabove results. |
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| Keywords: | Property CF property CF semistratifiable space with (CF) property g-metrizability |
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