Vol. 14 (2007)
Articles

Characterizations of spaces with locally countable weak bases

Shengxiang Xia
College of Science, Shandong Jianzhu University, Jinan 250101 , P.R. China

Published 2007-01-15

DOI:

https://doi.org/10.71712/

Keywords

  • weak base,
  • cs-network,
  • 1-sequence-covering mapping,
  • msss-mapping,
  • ss-mapping

How to Cite

Xia, S. . (2007). Characterizations of spaces with locally countable weak bases. Scientia Series A: Mathematical Sciences, 14, 25-30. https://doi.org/10.71712/

Abstract

In this paper, by 1-sequence-covering mappings, the relations between metric spaces and spaces with (σ-) locally countable weak bases are established. These are answers to Alexandroff’s some problems. 

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