| 闭映射不能保持T_1仿紧性及紧式仿紧性 |
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| 引用本文： | 林寿.闭映射不能保持T_1仿紧性及紧式仿紧性[J].苏州大学学报(医学版),1988(2). |
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| 作者姓名： | 林寿 |
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| 作者单位： | 苏州大学数学系 |
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| 摘 要： | 本文构造两个例子说明(1)T_1仿紧性不被闭映射所保持。(2)紧式仿紧性不被闭映射所保持。它们分别否定地回答了高国士和D.K.Burke的问题。
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| 关 键 词： | 强仿紧 仿紧 紧式仿紧 cs—式仿紧 |
T_1 Paracompactness and Mesocompactness Cannot Be Preserved by Closed Maps |
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| Lin Shou.T_1 Paracompactness and Mesocompactness Cannot Be Preserved by Closed Maps[J].Journal of Suzhou University(Natural Science),1988(2). |
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| Authors: | Lin Shou |
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| Institution: | Lin Shou Department of Mathematics |
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| Abstract: | In this paper, we construct two examples: to show that
(1) T_1 paracompactness is not preserved by closed maps, (2) mesocom-
pactness is not preserved by closed maps, which negatively answer the
questions of Gao Guoshi and D. K. Burke respectively. |
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| Keywords: | Strongly paracompact paracompact mesocompact sequentially mesocompact |
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