Vol. 10 (2004)
Articles

On π-images of separable metric spaces

Ying Ge
Department of Mathematics Suzhou University Suzhou, Jiangsu, 215006, P. R. China
Jian-Sheng Gu
Department of Mathematics Suzhou Science and Technology College Suzhou, Jiangsu, 215009, P. R. China

Published 2004-09-23

How to Cite

On π-images of separable metric spaces. (2004). Scientia Series A: Mathematical Sciences, 10, 65-71. https://revistas.usm.cl/scientia/article/view/68

Abstract

We prove that a space is a sequentially-quotient (pseudo-sequence-covering), π-image of a separable metric space if and only if it has a point-star network consisting of countable cs*-covers. We also investigate spaces with countable sn-networks.

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