g -metrizable spaces and the images of semi-metric spaces
详细信息 查看全文
- 作者：Ying Ge and Shou Lin
- 关键词：g ; metrizable spaces ; sn ; metrizable spaces ; weak ; open mappings ; strong sequence ; covering mappings ; quotient mappings ; π ; mappings ; σ ; mappings ; mssc ; mappings
- 刊名：Czechoslovak Mathematical Journal
- 出版年：2007
- 出版时间：December, 2007
- 年：2007
- 卷：57
- 期：4
- 页码：1141-1149
- 全文大小：155.2 KB
文摘
In this paper, we prove that a space X is a g-metrizable space if and only if X is a weak-open, π and σ-image of a semi-metric space, if and only if X is a strong sequence-covering, quotient, π and mssc-image of a semi-metric space, where “semi-metric” can not be replaced by “metric”.