In this second part we continue the study of the notion of GT31
2
-spaces which we had introduced
in part I of this paper. We study here its relation with the L-proximity spaces defined by Katsaras
in 1979, the L-uniform spaces defined by G¨ahler and the first author and others in 1998 and
the L-compact spaces defined by G¨ahler in 1995. The relation between the GT31
2
-spaces and the
L-topological groups will be studied in a separate paper.
Keywords: L-filters; GTi-spaces; completely regular spaces; GT31
2
-spaces; L-Tychonoff spaces;
Initial and final lifts; Initial and final L-topological spaces; L-proximity spaces; L-uniform spaces;
L-compact spaces; L-topological groups.