MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
A note on sequence-covering $\pi$-images of metric spaces
Zhaowen Li and Tusheng Xie

Abstract

In this paper, we prove that a space is a sequence-covering $\pi$-image of a metric space if and only if it has a $\sigma$-strong network consisting of $cs$-covers (or $sn$-covers) if and only if it is a Cauchy $sn$-symmetric space.

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Keywords: Sequence-covering mappings; $\pi$-mappings; $cs$-covers; $sn$-covers; $\sigma$-strong networks; Cauchy $sn$-symmetric spaces.

MSC: 54D55, 54E40, 54E99

Pages:  326--329     

Volume  64 ,  Issue  4 ,  2012