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 24-01-2025

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.