Separability Of L-topological Space

Separation axiom is one of the important studied content in topology.In this paper, separation axioms in L-topological spaces are studied ,there are two sections .In the first section: the concept of stratified completely T2 separation is introduced in L- topological spaces. It is a L-good extention , a invariant of weak homeo-morphisms, and it is hereditary,producible. Furthemore , a weakly induced stratified T1 and stratified regular space is a stratified completely T2 space .The second section: It illustrates that a conclusion ( (P ) [ (P)] ) is wrong which is used by the proof of theorem 2.2 of [13] via a example . It also gives a right proof of this theorem. Finally, this paper gives an equivalent description of strong semi-regular L-topological space. " Theerem 2.2 of [13]: Supposing that (Lx, t( )) is a L-topologcal space that is topologocal generated by crisp topological space (X, T) , then (Lx, t( )) is a T21/2 space if and only if (X, T) is a T21/2 space. So T21/2 space is a L-good extentation...