| 度量空间的序列覆盖边界紧映象(英文) |
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| 引用本文： | 林福财,林寿.度量空间的序列覆盖边界紧映象(英文)[J].数学进展,2010(1). |
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| 作者姓名： | 林福财 林寿 |
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| 作者单位： | 漳州师范学院数学系;宁德师专数学系; |
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| 基金项目： | Supported by the NSFC(No.10571151). |
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| 摘 要： | 本文主要讨论了度量空间的序列覆盖边界紧映象.用序列商、序列覆盖或1-序列覆盖的纤维边界紧或有限来刻画具有sn网或弱基的空间.主要结果如下:(1)度量空间上的序列覆盖边界紧映射是1-序列覆盖映射;(2)空间X是度量空间的序列商边界紧映象当且仅当X是snf-第一可数空间;(3)空间X是度量空间的序列覆盖边界紧S映象当且仅当X有点可数sn-网.
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| 关 键 词： | 序列商映射 序列覆盖映射 sn-网 弱基 |
On Sequence-covering Boundary Compact Maps of Metric Spaces |
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| LIN Fucai,LIN Shou.On Sequence-covering Boundary Compact Maps of Metric Spaces[J].Advances in Mathematics,2010(1). |
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| Authors: | LIN Fucai LIN Shou |
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| Institution: | LIN Fucai~(1,*),LIN Shou~(1,2,**),(1.Department of Mathematics,Zhangzhou Normal University,Zhangzhou,Fujian,363000,P.R. China,2.Institute of Mathematics,Ningde Teachers\' College,Ningde,352100,P.R.China) |
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| Abstract: | In this paper,we mainly discuss the images of metric spaces under sequence-covering boundary compact maps.Some spaces having certain sn-networks or weak bases are characterized by sequentially quotient maps,sequence-covering maps,or 1-sequence-covering maps that the boundary set of each fiber is finite or compact.The main results are that(1) Each sequence-covering and boundary compact map on a metric space is 1-sequence-covering; (2) A space X is a sequentially quotient,boundary compact image of a metric sp... |
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| Keywords: | sequentially quotient maps sequence-covering maps sn-networks weak bases |
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