| 星可数k网与序列覆盖s映射 |
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| 引用本文： | 蔡伟元,李进金. 星可数k网与序列覆盖s映射[J]. 数学研究, 2000, 33(2): 204-207 |
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| 作者姓名： | 蔡伟元 李进金 |
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| 作者单位： | [1]江苏省常熟中学,常熟 [2]福建省漳州师范学院数学系,漳州 |
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| 摘 要： | 证明了在空间具有星可数ｋ网的条件下，度量空间的１（２）序列覆盖ｓ映象是局部可分度量空间的１（２）序列覆盖、紧覆盖ｓ映象。
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| 关 键 词： | 紧覆盖映射 度量空间 星可数k网 序列覆盖s映射 |
Star countable k-networks and Sequence-covering s-mappings |
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| Cai Weiyuan. Star countable k-networks and Sequence-covering s-mappings[J]. Journal of Mathematical Study, 2000, 33(2): 204-207 |
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| Authors: | Cai Weiyuan |
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| Abstract: | It is shown that if a space X has a star countable k network, and X is a 1 sequence covering (resp. 2 sequence covering) s image of a metric space, then X is a 1 sequence covering (resp. 2 sequence covering), compact covering s image of a locally separable metric space. |
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| Keywords: | sequence covering mappings 2 sequence covering mappings compact covering mappings s mapping k networks star countable collections metric spaces locally separable spaces |
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