| 覆盖式不分明仿紧性 |
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| 引用本文： | 邱道文 马剑兰. 覆盖式不分明仿紧性[J]. 中山大学学报(自然科学版), 1998, 37(5): 107-109 |
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| 作者姓名： | 邱道文 马剑兰 |
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| 作者单位： | 中山大学数学系(邱道文)，白云师范学校(马剑兰) |
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| 摘 要： | 利用包含度提出了覆盖式不分明仿紧性，并说明了它有好的推广，而且它等价于已有的各种不分明仿紧性．然后在此框架下给出几个与局部有限性紧密相关的覆盖引理，从而得到了主要结果，建立了较全面的等价刻画定理
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| 关 键 词： | 不分明拓扑，仿紧性，弱诱导空间，局部有限性 |
Fuzzy Paracompactness of Covering Style |
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| Qiu Daowen Ma Jianlan. Fuzzy Paracompactness of Covering Style[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 1998, 37(5): 107-109 |
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| Authors: | Qiu Daowen Ma Jianlan |
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| Affiliation: | Qiu Daowen Ma Jianlan |
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| Abstract: | The inclusion degree is used to propose a fuzzy paracompactness of covering style, which is shown to be a good generalization. Moreover, it is equivalent to several kinds of fuzzy paracompactness previously given. Several lemmas ralated closely to locally finite property are established and the main result follows them. A complete equivalence theorem is obtained. |
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| Keywords: | fuzzy topology paracompactness weakly induced space locally finite property |
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