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Keywords:
weak-bases; $cs$-networks; $k$-networks; $g$-first countable spaces; weakly open mappings; msss-mappings.
weak-bases; $cs$-networks; $k$-networks; $g$-first countable spaces; weakly open mappings; msss-mappings.
Summary:
In this paper, spaces with $\sigma $-locally countable weak-bases are characterized as the weakly open msss-images of metric spaces (or $g$-first countable spaces with $\sigma $-locally countable $cs$-networks).
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