| 有界变差连续函数族的纲性 |
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| 引用本文： | 王磊杰. 有界变差连续函数族的纲性[J]. 文山师范高等专科学校学报, 2013, 26(3): 32-33 |
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| 作者姓名： | 王磊杰 |
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| 作者单位： | 文山学院数理系,云南文山,663000 |
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| 摘 要： | 利用Baire纲定理证明了连续函数空间C[a,b]上有界变差函数全体是第一纲集,多数连续函数的图像是不可求长曲线。
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| 关 键 词： | 可求长曲线 有界变差 第一纲集 |
The Category of Continuous Functions of Bounded Variation |
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| WANG Lei-jie. The Category of Continuous Functions of Bounded Variation[J]. Journal of Wenshan Teachers College, 2013, 26(3): 32-33 |
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| Authors: | WANG Lei-jie |
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| Affiliation: | WANG Lei-jie(Department of Mathematics and Physics,Wenshan University,Wenshan 663000,China) |
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| Abstract: | This paper justifies that the set of functions of bounded vatiation in C[a,b] is nowhere dense set by using Baire theorem,and all most graph of continuous functions are not rectifiable. |
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| Keywords: | Rectifiable curve bounded variation nowhere dense set. |
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