| 集与导集数量关系的研究 |
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| 引用本文： | 徐厚生. 集与导集数量关系的研究[J]. 沈阳师范大学学报(自然科学版), 2008, 26(1): 14-16 |
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| 作者姓名： | 徐厚生 |
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| 作者单位： | 沈阳建筑大学,理学院,辽宁,沈阳,110168 |
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| 摘 要： | 集合理论是研究实变函数的基础,在研究集合理论的基础上,着重强调了导集理论的研究,主要研究了集与导集之间的数量关系,并在集与导集数量关系理论的基础上,运用集与导集的数量关系简化地解决了一些著名定理与结论的证明,为使导集理论更好地应用于实际打下坚实的基础,为建立更加广泛的分析理论提供参考.
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| 关 键 词： | 导集 Heine-Borel定理 Bolano-Weierstrass定理 导集 数量关系 研究 Sets Induced Relationship 分析理论 应用 定理 简化 运用 关系理论 实变函数 集合理论 |
| 文章编号： | 1673-5862（2008）01-0014-03 |
| 收稿时间： | 2007-06-15 |
| 修稿时间： | 2007-06-15 |
Quantitative Relationship Between Sets and Induced Sets |
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| XU Hou-sheng. Quantitative Relationship Between Sets and Induced Sets[J]. Journal of Shenyang Normal University(Natural Science Edition), 2008, 26(1): 14-16 |
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| Authors: | XU Hou-sheng |
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| Abstract: | Theory of sets is the foundation of real function, based on the theory of induced set is that investigated. The quantitative relationship between sets and induced sets is then emphasized. Furtherwore, some famous theorem and conclusion are proved simply by using the relationship, which will be the base of rr~king use of these theories and provide reference to more extensive analysis theory. |
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| Keywords: | induced sets Heine-Borel theorem Bolano-Weierstrass theorem |
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