Abstract

In this paper, we give some new characterizations for $so$-metrizable spaces, which answers a question posed by Z. Li and generalize some results on $so$-metrizable spaces. As some applications of the above results, some mappings theorems on $so$-metrizable spaces are obtained.

Keywords: $so$-network,; $sof$-countable; $so$-metrizable space.

MSC: 54C10, 54D50, 54E35, 54E99

Pages:  209--218     

Volume  61 ,  Issue  3 ,  2009