Spaces with sigma-compact finite weak-bases

作者：Li, Zhaowen^*; Li, Qingguo

来源：Journal of Computational Analysis and Applications, 2011, 13(1): 157-166.

• Weak-bases
• cs-networks
• k-networks
• Frechet spaces
• g-first countable spaces
• msk-mappings
• 1-sequence-covering mappings

In this paper, we give some characterizations of spaces with sigma-compact finite weak-bases and prove that spaces have a-compact finite weak-bases if and only if they are 1-sequence-covering and quotient msk-images of metric spaces.

• 出版日期2011-1
• 单位广西民族大学; 湖南大学