| 关于强遗传meso紧空间的等价刻画与Tychonoff乘积 |
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| 引用本文： | 李卫平,朱培勇.关于强遗传meso紧空间的等价刻画与Tychonoff乘积[J].西南农业大学学报,2011,33(6). |
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| 作者姓名： | 李卫平 朱培勇 |
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| 作者单位： | 电子科技大学数学科学院; |
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| 基金项目： | 国家自然科学基金资助项目(10671134) |
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| 摘 要： | 首先证明:X是强遗传meso紧空间当且仅当X的每个开子空间的每个散射分解在X上有紧有限的开膨胀;然后推出关于强遗传meso紧空间的1个充要条件和1组等价刻画;最后获得了强遗传meso紧空间的1个Ty-chonoff乘积定理.
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| 关 键 词： | 强遗传meso紧 散射分解 开子空间 开膨胀 |
On Equivalent Characterizations and Tychonoff Product of Strongly Hereditarily Mesocompact Spaces |
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| LI Wei-ping,ZHU Pei-yong School of Mathematical Sciences,University of Electronic Science , Technology,Chengdu ,China.On Equivalent Characterizations and Tychonoff Product of Strongly Hereditarily Mesocompact Spaces[J].Journal of Southwest Agricultural University,2011,33(6). |
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| Authors: | LI Wei-ping ZHU Pei-yong School of Mathematical Sciences University of Electronic Science Technology Chengdu China |
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| Institution: | LI Wei-ping,ZHU Pei-yong School of Mathematical Sciences,University of Electronic Science and Technology,Chengdu 611731,China |
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| Abstract: | First this paper shows that X is strongly hereditarily mesocompact space iff each scattered partition of its open subspaces has a compact finite open expansion in X.Then,a necessary and sufficient condition of strongly hereditarily mesocompact spaces is proved,and a group of characterizations is obtained.Finally,a Tychonoff product theorem is proved on strongly hereditarily mesocompact spaces. |
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| Keywords: | strongly hereditarily mesocompact scattered partition open subspace open expansion |
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