J4 ›› 2012, Vol. 47 ›› Issue (4): 101-103.
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曹贞波,谭安辉,许玉铭
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作者简介:
CAO Zhen-bo, TAN An-hui, XU Yu-ming
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摘要：
给出了弹性拟对基和可单点扩展拟对基的定义,证明了空间X是弹性空间当且仅当X具有弹性拟对基,并证明了空间X是预可度量化空间当且仅当X具有可单点扩展拟对基。
关键词: 弹性空间;拟弹性空间;弹性对基;拟弹性对基;可单点扩展对基;可单点扩展拟对基
Abstract:
The definitions of quasi-elastic spaces and unitary point extendable quasi pair-base are given. We prove that quasi-elastic spaces are elastic spaces, and spaces with unitary point extendable quasi pair-base are equivalent to proto-metrizable spaces.
Key words: elastic spaces; quasi-elastic spaces; elastic pair-base; elastic quasi pairbase; unitary point extendable pair-base; unitary point extendable quasi pair-base
曹贞波,谭安辉,许玉铭. 拟弹性空间注记[J]. J4, 2012, 47(4): 101-103.
CAO Zhen-bo, TAN An-hui, XU Yu-ming. A note on quasi-elastic spaces[J]. J4, 2012, 47(4): 101-103.
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http://lxbwk.njournal.sdu.edu.cn/CN/Y2012/V47/I4/101
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