| 滤子的限制,性质保持与弱划分性质 |
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| 引用本文： | 吴国华. 滤子的限制,性质保持与弱划分性质[J]. 数学学报, 1998, 41(5): 999-1002. DOI: cnki:ISSN:0583-1431.0.1998-05-012 |
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| 作者姓名： | 吴国华 |
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| 作者单位： | 中国科学院软件研究所 |
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| 摘 要： | 本文给出划分的限制的一个基本性质，κ 连续性，证明了划分空间上的滤子的κ 完全性，精细性，超滤子性，准超滤子性，等关于限制保持．另外，本文还给出划分空
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| 关 键 词： | 集论，大基数，划分空间，Q-测度 |
Restriction of Partitions, Properties Preservedand the Weak Partition Property |
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| Wu Guohua. Restriction of Partitions, Properties Preservedand the Weak Partition Property[J]. Acta Mathematica Sinica, 1998, 41(5): 999-1002. DOI: cnki:ISSN:0583-1431.0.1998-05-012 |
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| Authors: | Wu Guohua |
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| Affiliation: | Wu Guohua (Institute of Software, Chinese Academy ofsciences, Beijing 100080, China) |
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| Abstract: | In this paper, we show that the restriction of partitions has the κ continuity. Some properties of filters on the space of partitions preserve with respect to the restriction of filters, such as κ completeness, fineness,ultrafilter, preultrafilter, etc.. We also give a sufficient condition under which the weak partition property holds. |
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| Keywords: | Set theory Large cardinals Space ofpartitions Q measure |
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