Some separation axioms in L-topological spaces

Abstract

In this paper, under the idea of L-T 0 or sub-T 0 , we propose a set of new separation axioms in L-topological spaces, namely sub-separation axioms. And some of their properties are studied. In addition, the relation between the sub-separation axioms defined in the paper and other separation axioms is discussed. The results show that the subseparation axioms in this paper are weaker than other separation axioms that had appeared in literature.