共查询到10条相似文献,搜索用时 125 毫秒
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本文利用林寿引入的Frechet拟基的概念,获得了度量空间的确定闭映象和局部可度量空间的确定闭映象的一些新的刻画, 相似文献
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本文利用一致覆盖的概念,讨论了度量空间的序列覆盖紧映象的结构.主要结果有: (1)空间X是局部可分度量空间的序列覆盖紧映象当且仅当X具有由cosmic子空间构成的一致sn网; (2)空间X是局部可分度量空间的序列覆盖,商紧映象当且仅当X是度量空间的序列覆盖,商紧映象且是局部cosmic空间. 相似文献
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Jinjin Li 《Acta Mathematica Hungarica》2005,107(1-2):65-70
Summary We establish relationships between paracompact locally Lindelöf spaces and all kinds of spaces with L -systems by means of closed mappings, weakly perfect mappings and quotient mappings. In particular, we obtain some characterizations of paracompact locally Lindelöf spaces. Interestingly, they are also characterized as weakly perfect inverse images of locally separable metric spaces. 相似文献
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J. Li 《Acta Mathematica Hungarica》2002,95(4):281-286
We continue to discuss some properties of certain k-covers. As applications, we give some characterizations of certain quotient images of paracompact locally compact spaces. 相似文献
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指出了文[1]中的一个问题,并给出了局部可分度量空间的伪序列覆盖s映象和局部可分度量空间的伪序列覆盖紧映象的刻划。 相似文献
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The concepts of k-systems, k-networks and k-covers were defined by A. Arhangel’skii in 1964, P. O’Meara in 1971 and R. McCoy, I. Ntantu in 1985, respectively. In this
paper the relationships among k-systems, k-networks and k-covers are further discussed and are established by mk-systems. As applications, some new characterizations of quotients or closed images of locally compact metric spaces are given
by means of mk-systems. 相似文献
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A Note On g-Metrizable Spaces 总被引:1,自引:0,他引:1
Jinjin Li 《Czechoslovak Mathematical Journal》2003,53(2):491-495
In this paper, the relationships between metric spaces and g-metrizable spaces are established in terms of certain quotient mappings, which is an answer to Alexandroff's problems. 相似文献