| 区间上诱导映射的半开与几乎开 |
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| 引用本文： | 曾凡平,黄先玖,王琦,张更容.区间上诱导映射的半开与几乎开[J].广西大学学报(自然科学版),2004,29(4):285-289. |
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| 作者姓名： | 曾凡平 黄先玖 王琦 张更容 |
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| 作者单位： | 广西大学,数学与信息科学学院,广西,南宁,530004;广西大学,数学与信息科学学院,广西,南宁,530004;南昌大学,数学系,江西,南昌,330047 |
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| 基金项目： | ProjectsupportedbyNSFC(10361001,19961001,10226014)andsupportedpartlybyGuangxiScienceFoundation(0229001,0249002) |
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| 摘 要： | 设f为区间x=0，1]上的连续自映射，2^f和C(f)分别为超空间2^x和C(X)上的相应诱导映射．本文主要研究了f为开映射(半开，几乎开)，2^f为开映射(半开，几乎开)和C(f)为开映射(半开，几乎开)之间的关系．
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| 关 键 词： | 连续统 超空间 诱导映射 半开 几乎开 |
Semi-openness and almost-openness of induced mappings on interval |
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| Abstract.Semi-openness and almost-openness of induced mappings on interval[J].Journal of Guangxi University(Natural Science Edition),2004,29(4):285-289. |
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| Authors: | Abstract |
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| Abstract: | Give a self-map f of interval X=0,1].Let 2~f and C(f) mean the induced maps between hyperspace 2~X and C(X).Relations are studied between the condition:f is open(semi-open,almolst-open,respectively),2~f is open(semi-open,almost-open,respectively)and C(f) is open(semi-open,almost-open,respectively). |
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| Keywords: | continuum hyperspace induced mapping semi-openness almost open |
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