| 关于1-序列商映射 |
| |
| 引用本文： | 谷建胜.关于1-序列商映射[J].数学研究,2003,36(3):305-308,313. |
| |
| 作者姓名： | 谷建胜 |
| |
| 作者单位： | 苏州科技学院数学系,江苏,苏州,215009 |
| |
| 基金项目： | 江苏省教育厅高校科研项目(00KJB110007) |
| |
| 摘 要： | 引进了1-序列商映射，证明了1-序列商映射象保持sm-第一可数空间．作为这一结果的一个应用，本文证明了几乎开，闭映射保持度量空间，g-度量空间，sm-度量空间．此外本文还证明了度量空间上的1-序列商，紧映射是1-序列覆盖映射．这些结果改进并推广了广义度量空间映射象的有关理论．
|
| 关 键 词： | 1-序列覆盖映射 1-序列商映射 几乎开映射 g-度量空间 sm-度量空间 |
On the 1-sequentially Quotient Mappings |
| |
| Gu Jiansheng.On the 1-sequentially Quotient Mappings[J].Journal of Mathematical Study,2003,36(3):305-308,313. |
| |
| Authors: | Gu Jiansheng |
| |
| Abstract: | In this paper, we introduce 1-sequentially quotient mappings, and prove that 1-sequentially quotient mappings preserve sn-first countable spaces. As an application of above results , we prove that almost open, closed mappings preserve metric spaces, g -metric spaces and SB-metric spaces. It is also shown that: 1-sequentially quotient, compact mapping is 1-sequentially covering mappings. These results improve and generalize the theories of images of generalized metric spaces. |
| |
| Keywords: | 1-sequentially covering mappings 1-sequentially quotient mappings almotst open mappings g -metric spaces sn-metric spaces |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
