| 诱导空间的等价刻画 |
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| 引用本文： | 赵国亮,吉智方. 诱导空间的等价刻画[J]. 内蒙古师范大学学报(自然科学版), 2007, 36(5): 580-583,590 |
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| 作者姓名： | 赵国亮 吉智方 |
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| 作者单位： | 黑龙江科技学院,数力系,黑龙江,哈尔滨,150027;内蒙古师范大学,数学科学学院,内蒙古,呼和浩特,010022 |
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| 基金项目： | 黑龙江科技学院引进高层次人才科研启动基金 |
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| 摘 要： | 对弱诱导空间、满层空间和诱导空间的等价条件进行了归纳和总结，证明了它们之间的等价性，并给出若干新的等价刻画.
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| 关 键 词： | 诱导空间 弱诱导空间 满层空间 等价刻画 α-网 |
| 文章编号： | 1001-8735（2007）05-0580-04 |
| 收稿时间： | 2006-09-16 |
| 修稿时间： | 2006-09-16 |
Equivalent Characterizations of Induced Spaces |
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| ZHAO Guo-liang,JI Zhi-fang. Equivalent Characterizations of Induced Spaces[J]. Journal of Inner Mongolia Normal University(Natural Science Edition), 2007, 36(5): 580-583,590 |
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| Authors: | ZHAO Guo-liang JI Zhi-fang |
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| Affiliation: | 1. Department of Mathematics, Heilongjiang Institute of Science and Technology, Harbin 150027 ,China; 2. College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022 ,China |
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| Abstract: | In this paper, variety of induced spaces equivalent conditions were revealed, their equivalent characterizations were proofed and some characterizations of stratified spaces were given. |
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