| 格值诱导空间的完全正则性 |
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| 引用本文： | 刘应明,梁基华.格值诱导空间的完全正则性[J].四川大学学报(自然科学版),1993,31(1):23-28. |
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| 作者姓名： | 刘应明 梁基华 |
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| 作者单位： | 四川大学数学研究所
(刘应明)，四川大学数学研究所(梁基华) |
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| 基金项目： | The project Supported by National Natural Science Foundation of China，Ph.Foundation of State Educational Committee |
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| 摘 要： | 对一般的格值L,我们证明了:诱导空间是完全正则的,如果它的底空间是完全正则的.对适当的定义域L和值集I=0,1]证明了:诱导空间是完全正则的,当且仅当它的底空间是完全正则的.
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| 关 键 词： | 格值诱导空间 完全正则性 一致性 |
COMPLETE REGULARITY IN LATTICE-VALUED INDUCED SPACES |
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| Liu Yingming Liang Jihua.COMPLETE REGULARITY IN LATTICE-VALUED INDUCED SPACES[J].Journal of Sichuan University (Natural Science Edition),1993,31(1):23-28. |
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| Authors: | Liu Yingming Liang Jihua |
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| Affiliation: | Institute of Mathematics |
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| Abstract: | In this note, we consider complete regularity in lattice- valued induced spaces. For the general case of value set, we prove that an induced space is completely regular if its underlying space is completely regular. For a suitable rang L and the value set I = 0,1], folio wing theorem is obtained; An induced space is completely regular if and only if the underlying space is completely regular. |
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| Keywords: | lattice-valued induced space completely regularity uniformity |
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