| 引用本文： |
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孔庆钊,陈海燕,张夏苇,郑顶伟.1-序列商映射和2-序列商映射相关性质[J].广西科学,2005,12(4):273-275. [点击复制]
- Kong Qingzhao,Chen Haiyan,Zhang Xiawei,Zheng Dingwei.The Corresponging Properties of 1-Sequence-Quotient Mapping and 2-Sequence-Quotient Mapping[J].Guangxi Sciences,2005,12(4):273-275. [点击复制]
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| 摘要: |
| 通过引入2-序列商映射的定义,讨论1-序列商映射和2-序列商映射的相关性质.给出:2-序列商映射保持sof可数空间;映射f:X→Y,如果X为snf可数(sof可数)空间,f为1-序列商映射(2-序列商映射),则f为1-序列覆盖映射(2-序列覆盖映射)等结果.这些结果改进并推广广义度量空间映射象的有关理论. |
| 关键词: 映射 序列商映射 序列覆盖映射 序列邻域 序列开集 |
| DOI： |
| 投稿时间：2005-03-24修订日期：2005-05-23 |
| 基金项目:广西大学科研基金(199802)资助项目。 |
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| The Corresponging Properties of 1-Sequence-Quotient Mapping and 2-Sequence-Quotient Mapping |
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Kong Qingzhao, Chen Haiyan, Zhang Xiawei, Zheng Dingwei
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| (College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China) |
| Abstract: |
| In this paper,2-sequence-quotient mapping is introduced,and the corresponging properties of 1-sequence-quotient mapping and 2-sequence-quotient mapping is discussed.It is shown that sof countbale spaces are preserved under 2-sequence-quotient mapping.Let f:X→Y,if X is snf countbale(sof countbale) space,f is 1-sequence-quotient mapping(2-sequence-quotient mapping),then f is 1-sequence-covering mapping(2-sequence-covering mapping).These results improve the corresponging theories of the mapping on generalized metric spaces. |
| Key words: mapping sequence-quotient mapping sequencecovering mapping sequential neighborhood sequence-open set |
