燕鹏飞.遗传覆盖性质和选择理论[J].数学年刊A辑,2014,35(2):153~158 |
遗传覆盖性质和选择理论 |
Hereditary Covering Properties and Selection Theory |
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DOI: |
中文关键词: 遗传仿紧, 遗传亚紧, 遗传中紧, 选择 |
英文关键词:Hereditary paracompactness, Hereditary
metacompactness, Hereditary mesocompactness, Selections |
基金项目:国家自然科学基金 (No.10971125) 和广东省教育厅科技创新基金 (No.2012KJCX0101) |
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中文摘要: |
通过引入局部下半连续集值映射的概念, 建立了遗传覆盖性质与多种选择之间的一些重要联系, 说明了选择构造本身与原象空间的分离性无关. |
英文摘要: |
In this paper, by introducing the concept of locally lower semi-continuous set-valued mappings,
the author obtains some important relations between hereditary covering properties and various kinds of selections.
Moreover, it is shown that the construction of selections does not have relations with separation properties of preimage spaces. |
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