On Quotient \(\pi\)-images of locally separable Metric Spaces

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Published: 2025-08-08
DOI: https://doi.org/10.71712/
Keywords:
\(\pi\)-cover, double cs¨*-cover, \(\pi\)-mapping, \(s\)-mapping, quotient mapping, subsequence-covering mapping, sequentially-quotient mapping.

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Nyguyen Van Dung
Department of Mathematics, Pedagogical University of Dong thap, Viet nam

Abstract

We prove that a space is quotient \(\pi\)-image of a locally separable metric space if and only if it has a \(\pi-\) and double \(cs*-\)cover. We also investigate quotient \(\pi-s-\) images of locally separable metric spaces. 

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Vol. 16 (2008)

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

How to Cite

Van Dung, N. (2025). On Quotient \(\pi\)-images of locally separable Metric Spaces. Scientia Series A: Mathematical Sciences, 16, 51-59. https://doi.org/10.71712/