| meso-紧空间的可数乘积 |
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| 引用本文： | 王建军,朱培勇.meso-紧空间的可数乘积[J].纯粹数学与应用数学,2011,27(2):261-266. |
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| 作者姓名： | 王建军 朱培勇 |
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| 作者单位： | 电子科技大学数学科学学院; |
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| 基金项目： | 国家自然科学基金(10671134) |
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| 摘 要： | 利用拓扑博弈G(DC,X)的理论,推广了关于meso-紧空间有限乘积性质并得到如下结果:(1)如果(V)i∈ω,Yi是正则DC-like的meso-紧空间,则∏iωYi是meso-紧的;(2)如果(V)i∈ω,Yi是正则C-散射meso-紧的P-空间,则∏i∈ωYi是meso-紧的.
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| 关 键 词： | 可数乘积 拓扑博弈 meso-紧 DC-like C-散射 |
Mesocompactness in countable products |
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| WANG Jian-jun,ZHU Pei-yong.Mesocompactness in countable products[J].Pure and Applied Mathematics,2011,27(2):261-266. |
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| Authors: | WANG Jian-jun ZHU Pei-yong |
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| Institution: | WANG Jian-jun,ZHU Pei-yong(School of Mathematical Science,University of Electronic Science and Technology of China,Chengdu 611731,China) |
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| Abstract: | Making use of the theories of topological game G(DC,X),we extend the finite products of the mesocompact space.And it is proved that:(1) The product Πi∈ω Yi is mesocompact if Yi is a regular DC-like mesocompact space for each Πi ∈ ω.(2) The produc i∈ω Yi,if Yi is a regular C-scattered mesocompact P-space for each i ∈ ω. |
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| Keywords: | countable products topological games mesocompactness DC-like spaces C-scattered spaces |
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