| L拓扑空间的局部超F1紧性 |
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| 引用本文： | 张丽丽. L拓扑空间的局部超F1紧性[J]. 雁北师范学院学报, 2001, 17(6): 9-10 |
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| 作者姓名： | 张丽丽 |
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| 作者单位： | 雁北师范学院,数学系,山西,大同,037000 |
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| 摘 要： | 本文通过选择一种特殊的超F1紧性,给出了L-拓扑空间的局部超F1紧的定义,得出了局部超F1紧是闭、开遗传的,在开的连续的L-值Zadeh型函数下是保持的等.把分明拓扑空间中局部紧性的一些好的性质推广到L-拓扑空间中.
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| 关 键 词： | L-拓扑空间 完备格 局部超F1紧 超F1紧集 L-不分明完备映射 |
| 文章编号： | 1009-1939(2001)06-0009-02 |
| 修稿时间： | 2001-06-23 |
THE LOCAL ULTRA-F1 COMPACTNESS IN L-TOPOLOGICAL SPACES |
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| ZHANG Li-li. THE LOCAL ULTRA-F1 COMPACTNESS IN L-TOPOLOGICAL SPACES[J]. Journal of Yanbei Teachers College, 2001, 17(6): 9-10 |
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| Authors: | ZHANG Li-li |
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| Abstract: | In this paper,selecting a special type of ultra- F 1 compact L-seets,we obtain a good definition of local ultra- F 1 compactness on L-topological speces.It is shown that local ultra- F 1 compactness is hereditary both with respect to open L-subsets and with respect to closed L-subsets and local ultra- F 1 compactness is an invariant under continuous open L-valued Zadeh function ect.The good properties of local compactness on crisp topological spaces is generalized to L-topological spaces. |
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| Keywords: | L-topological spaces Complete lattice Ultra-F 1 compact set L fuzzy perfect mappings local ultra-F1 compactness |
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