| Lω-空间的可数ω-紧性 |
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| 引用本文： | 王瑜,马保国,张敏芝.Lω-空间的可数ω-紧性[J].延安大学学报(自然科学版),2012,31(1):22-24. |
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| 作者姓名： | 王瑜 马保国 张敏芝 |
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| 作者单位： | 延安大学数学与计算机科学学院,陕西延安,716000 |
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| 基金项目： | 陕西省自然科学基金青年资助项目(2010JQ1005) |
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| 摘 要： | 研究了Lω-空间的可数ω-紧性。利用Hα-ω-开覆盖等概念,引进Lω-了空间的可数ω-紧性的概念,并证明了可数ω-紧性具有有限可和、对ω-闭子集遗传、被连续的广义Zadeh型函数所保持、L-good extension等许多性质。
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| 关 键 词： | Lω-空间 Hα-ω-开覆盖 可数ω-紧性 |
The Countable Compactness in Space |
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| WANG YU,MA Bao-guo,ZHANG Min-zhi.The Countable Compactness in Space[J].Journal of Yan'an University(Natural Science Edition),2012,31(1):22-24. |
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| Authors: | WANG YU MA Bao-guo ZHANG Min-zhi |
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| Institution: | (College of Mathematics and Computer Science,Yan an University,Yan an 716000,China.) |
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| Abstract: | The countable ω-compactness of Lω-space is discussed.By means of Hα-ω-open cover,the notion of the countable ω-compactness of Lω-space is introduced,it is proved that countable ω compactness has many properties.The sum of finite countable ωcompact sets is a countable ω-compact set,and hereditary with close subset,L-good extension. |
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| Keywords: | Lω-space Hα-ω-open cover the countable ω-compactness |
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