Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.10971185; 10971186; 11201414), Fujian Province Support College Research Plan Project (Grant No.JK2011031) and the Natural Science Foundation of Fujian Province (Grant Nos.2012J05013; 2013J01029).
In this paper, some characterizations of pairwise semi-stratifiable spaces are given\,by means of pairwise $g$-functions and semi-continuous functions and the pairwise semi-stratifiability of topological ordered $C$-spaces with semi-stratifiable topology is discussed.