| 弱整序集的若干定理和超穹归纳法 |
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| 引用本文： | 董乃昌. 弱整序集的若干定理和超穹归纳法[J]. 吉林大学学报(理学版), 1996, 0(4) |
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| 作者姓名： | 董乃昌 |
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| 作者单位： | 吉林大学数学系 |
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| 基金项目： | 国家自然科学基金，国家教委博士点基金 |
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| 摘 要： | 将整序集上的若干主要定理和超穹归纳法推广到弱整序集上，使得超穹归纳法得到更为广泛的应用．
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| 关 键 词： | 整序集，弱整序集，前段，极小元素，超穹归纳法 |
Some Theorems and Transfinite induction of Weakly-Weakly-Ordered Sets |
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| Dong Naichang. Some Theorems and Transfinite induction of Weakly-Weakly-Ordered Sets[J]. Journal of Jilin University: Sci Ed, 1996, 0(4) |
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| Authors: | Dong Naichang |
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| Abstract: | The generalization and application of the weakly--well--ordered set, which containns negative integers ordered set and integers ordered set, are better than those of well--ordered set.We generalized some main theorems and the transfinite induction of the well--ordered sets to the weakly--well-ordered sets so as to get extensive application of transfinite induction. |
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| Keywords: | well-ordered set weakly-well-ordered set initial first element transfinite induction |
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