| 连续函数图像空间具有胞腔不相交性质 |
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| 引用本文： | 陈超,李婷爽.连续函数图像空间具有胞腔不相交性质[J].韩山师范学院学报,2014(6):30-35. |
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| 作者姓名： | 陈超 李婷爽 |
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| 作者单位： | 韩山师范学院数学与统计学系,广东潮州,521041 |
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| 摘 要： | 设C（I）表示所有从I=0,1]到I的连续函数.对任意f∈C（I）,令Gf={x,f（x）｜x∈I}表示f的图像,G（I）={G}f｜f∈C（I）.赋予G（I）具有豪斯多夫度量d H,同时证明（G（I）,d）H具有胞腔不相交性质.
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| 关 键 词： | 连续函数 图像 豪斯多夫度量 胞腔不相交性质 |
Space of Graphics of Continuous Maps Has the Disjoint Cells Property |
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| CHEN Chao,LI Ting-shuang.Space of Graphics of Continuous Maps Has the Disjoint Cells Property[J].Journal of Hanshan Teachers College,2014(6):30-35. |
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| Authors: | CHEN Chao LI Ting-shuang |
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| Institution: | (Department of Mathematics and Statistics, Hanshan Normal University, Chaozhou, Guangdong, 521041) |
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| Abstract: | Let C（I） denote all continuous maps from I=0,1] to I.For every f ∈ C（I）, let Gf={x,f（x）｜x ∈ I} be the graphics of f.Let G（I） ={G}f｜ f ∈ C（I）.This paper endows C（I） with Hausdorff metric dH,and shows that（G（I））,dHhas the disjoint cells property. |
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| Keywords: | continuous maps graphics hausdorff metric disjoint cells propenty |
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