Abstract

This paper gives characterizations of metric spaces under some sequence-covering $msss$-maps by means of certain kind of $\sigma$-locally countable networks.

Keywords: $msss$-maps; 1-sequence-covering maps; sequence-covering maps; strong compact-covering maps; weak-bases; bases; $s$-networks; $cs$-networks.

MSC: 54E99, 54C10; 54D55

Pages:  15--21     

Volume  59 ,  Issue  1$-$2 ,  2007