| 布尔代数上的严格正测度与链条件 |
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| 引用本文： | 韦唯.布尔代数上的严格正测度与链条件[J].四川大学学报(自然科学版),1990,27(4):402-408. |
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| 作者姓名： | 韦唯 |
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| 作者单位： | 四川大学数学系 |
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| 摘 要： | 布尔代数上何时存在正测度的问题,虽已有相对完整的结果,但多附有一些集论的假设条件.本文在完全不附加集论假设的条件下进行了若干讨论,得到了布尔代数A存在严格正测度的充分条件,并构造了两个有趣的反例.
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| 关 键 词： | 布尔代数 正测度 链条件 |
CHAIN CONDITIONS AND POSITIVE MEASURE ON BOOLE ALGEBRA |
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| Wei Wei.CHAIN CONDITIONS AND POSITIVE MEASURE ON BOOLE ALGEBRA[J].Journal of Sichuan University (Natural Science Edition),1990,27(4):402-408. |
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| Authors: | Wei Wei |
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| Institution: | Derartment of Mathematics |
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| Abstract: | When there is a positive measure on Boole algebra? This problem had more complete results, but they require some set-theoretic hypothesis usually. In this paper we discuss this problem without any set-theoretic hypothesis, give a sufficient condition of Boole algebra A which has strictly positive measure, and construct two interesting counter examples. |
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| Keywords: | Boole algebra positive measure chain condition |
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