MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
On $\pi$-images of separable metric spaces and a problem of Shou Lin
Tran Van An and Luong Quoc Tuyen

Abstract

In this paper, we give some characterizations of images of separable metric spaces under certain $\pi$-maps, and give an affirmative answer to the problem posed by Shou Lin in [Point-Countable Covers and Sequence-Covering Mappings, Chinese Science Press, Beijing, 2002].

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Keywords: $cs^*$-network; $cs^*$-cover; $cs$-cover; $sn$-cover; separable metric space; Cauchy $sn$-symmetric; $\sigma$-strong network; compact map; $\pi$-map.

MSC: 54C10, 54D55, 54E40, 54E99

Pages:  297--302     

Volume  64 ,  Issue  4 ,  2012