| 关于正规可数中紧空间在逆极限运算下的保持问题 |
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| 引用本文： | 纪广月. 关于正规可数中紧空间在逆极限运算下的保持问题[J]. 山西师范大学学报：自然科学版, 2012, 0(4): 5-7 |
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| 作者姓名： | 纪广月 |
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| 作者单位： | 肇庆工商学院工商系,广东肇庆526020 |
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| 摘 要： | 设X是逆系统{Xα，πα^β，∧}的逆极限，｜∧｜=λ，假设每个投射πα：X→Xα以是开且到上的，X是λ-仿紧的，如果每个Xα是正规可数中紧的，则X是正规可数中紧的．进一步，还得到了关于遗传性质的类似结果．
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| 关 键 词： | 逆极限 可数中紧 遗传可数中紧 h-仿紧 |
On Normal Countable Mesocompact Preserving Problem through the Operation of Inverse Limits |
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| JI Guang yue. On Normal Countable Mesocompact Preserving Problem through the Operation of Inverse Limits[J]. Journal of Shanxi Teachers University, 2012, 0(4): 5-7 |
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| Authors: | JI Guang yue |
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| Affiliation: | JI Guang yue ( Dept of industry and commerce, Zhaoqing college of industry and commerce, Zhaoqing 526020, Guangdong, China) |
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| Abstract: | Let X be the limit of an inverse system {Xα,πα^β,∧}and λ is the cardinal number of ｜ ∧｜. Suppose each projection ∏α ：X → Xα is an open and onto map and X is λ- paracompact. If each Xα is a normal countable mesocompact space, then X is a countable mesocompact space. Moreover, the analogous result for hereditanily countable mesoompact properties is obtained. Key words： inverse limits; countably mesocompact; hereditarily countable mesocompact; λ- paracompact |
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