Characterizations of spaces with locally countable weak bases

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Published: 2025-08-08
DOI: https://doi.org/10.71712/
Keywords:
weak base, cs-network, 1-sequence-covering mapping, msss-mapping, ss-mapping

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

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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Vol. 14 (2007)

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Articles

© 2026 The Author(s). Published By Universidad Técnica Federico Santa María

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Xia, S. . (2025). Characterizations of spaces with locally countable weak bases. Scientia Series A: Mathematical Sciences, 14, 25-30. https://doi.org/10.71712/