MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Some characterizations of spaces with locally countable networks
Luong Quoc Tuyen

Abstract

In this paper, we give some characterizations of spaces with locally countable network and some characterizations of $sn$-symmetric (or Cauchy $sn$-symmetric) spaces with locally countable $sn$-networks by compact images (or $\pi$-images) of locally separable metric spaces.

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Keywords: Network; $cs^*$-network; $sn$-network; weak base; locally countable; sequence-covering; $1$-sequence-covering; weak-open; compact map; $\pi$-map.

MSC: 54C10, 54D65, 54E40, 54E99

Pages:  84--90     

Volume  66 ,  Issue  1 ,  2014