摘要
研究了仿紧局部可分空间在一些L映射下象的性质后,文章继续讨论仿紧局部可分空间的映象问题。给出了点可数k覆盖与sL系之间的关系并进一步得到仿紧局部可分空间在一些紧覆盖映射下的象与k覆盖以及与sL系之间的关系,探讨了仿紧局部可分空间在2-序列覆盖L-映射下的象与序列开覆盖之间的联系,建立了仿紧局部可分空间的一些L-映象之间的联系。
Based on the characterizations of images of paracompact Locally separable spaces under some L-mappings, the images of paracompact locally separable spaces are further studied in the paper. The relationship between the point-countable k covers and the sL-system is given and the connections between the images of paracompact locally separable spaces under some compact covering mappings and the point-countable k covers are obtained as well as the connections between the images and the sLsystem. The connection between the images of paracompact locally separable spaces under 2-sequence covering mappings and the sequence-open covers is analyzed and the relationship among the images of paracompact locally separable spaces under some L-mappings is established.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
北大核心
2006年第9期1181-1184,共4页
Journal of Hefei University of Technology：Natural Science
