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 27-02-2025

Keywords

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

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.