| ls-Ponomarev-systems与1-序列覆盖映像 |
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| 引用本文： | 孙秀华,吕诚.ls-Ponomarev-systems与1-序列覆盖映像[J].佳木斯工学院学报,2012(3):423-424,428. |
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| 作者姓名： | 孙秀华 吕诚 |
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| 作者单位： | 安徽建筑工业学院数理系,安徽合肥230022 |
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| 基金项目： | 安徽省自然基金项目资助（KJ2011z057）. |
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| 摘 要： | 为了寻求局部可分度量空间的映像,引入双点星sn覆盖这一概念,并借用近年来由传统的Ponomarev-system推广而得的ls-Ponomarev-system,给出了局部可分度量空间1-序列覆盖映像的一个新刻画,并且这一新刻画较以往所得相关刻画更为简洁.
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| 关 键 词： | 度量空间 局部可分 1-序列覆盖映射 紧映射 ls-Ponomarev-system |
ls - Ponomarev - Systems and 1 - sequence - covering Images |
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| Affiliation: | SUN Xiu - hua, LU Cheng ( Department of Mathematics and Physics, Anhui University of Architecture, Hefei 230022, China) |
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| Abstract: | In order to characterize images of locally separable metric spaces, the concept of double point - star sn - covers was introduced in this paper. By using ＂ ls - Ponomarev - system＂ which is a generalization of ＂Ponomarev - system＂. The new characterizations of 1 - sequence - covering compact images of locally separable metric spaces were given. |
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| Keywords: | metric spaces locally separable 1 - sequence - covering mappings compact mappings ls - Ponomarev - system |
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