| 邻域收缩核和可逼近邻域收缩核的关系 |
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| 引用本文： | 王延庚.邻域收缩核和可逼近邻域收缩核的关系[J].西北大学学报,1995,25(5):389-391. |
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| 作者姓名： | 王延庚 |
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| 作者单位： | 西北大学数学系 |
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| 摘 要： | 讨论了邻域收缩核，可逼近邻域收缩核及绝对可逼近邻域收缩核之间的关系。特别推广了ＣｌａｐｐＭＨ的一个定理，证明了线性度量空间中闭的凸子集是该空间的邻域收缩核，当且仅当它为该空间的可逼近邻域收缩核．
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| 关 键 词： | 邻域收缩核，可逼近邻域收缩核，绝对可逼近邻域收缩核 |
On the Relation between neighborhood retracts and Approximative Neighborhood Retracts |
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| Wang Yan'' geng.On the Relation between neighborhood retracts and Approximative Neighborhood Retracts[J].Journal of Northwest University(Natural Science Edition),1995,25(5):389-391. |
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| Authors: | Wang Yan' geng |
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| Abstract: | The relation between a compact,a approximative and a absolute neighborhood retract of aspace haveing CNEP is discussed.A theorem of Clapp M H is specially populized.It is Droved that theclosed convex subset in linear metric space is the neighborhood retract of the space iff it is the approxi-mative retract . |
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| Keywords: | neighborhood retract approximative neighborhood retract absolute approximative neighborhood retract |
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