Abstract
This paper is to introduce the concepts of generalized L - T i separations (i=-1,0,1,2), generalized L-Urysohn spaces and generalized L-homeomorphism in generalized L-topological spaces, developed by the author (S.Z.Bai, Generalized L-topological spaces, Journal of Intelligent and Fuzzy Systems, 2015,28,301-309). Furthermore, we are to give some basic properties, interrelations and some counterexamples of the concepts above.
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