الفهرس 
PreliminariesOnly 14 pages are availabe for public view
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Abstract
The objective of this thesis is to introduce multi generalized topological spaces (MGTS’s) and multi generalized neighbourhood operator (MGN) and study the relations between them. Also we define interior and closure points with respect to (MGT), (MGN) and Γ(M ) where Γ(M ) is the set of all monotonic maps, we also introduce and investigate the concepts of (ψ, ψ0) − continuity, (g, g0) − continuity and we study generalized con- tinuity on multiset. Also we introduce the notions of separated and connected mset in M-topological space, and mγ−separated and mγ−connected multisets. Also we define connectedness in multi generalized topological spaces. The notions of relative separa- tion oxioms rmGT1, rmGT2, rmG-regular and rmG-normal on a multi generalized topo- logical spaces are studied in this work. We investigate some characterizations for such notions and relationships among rmGT1, rmGT2, rmGT3, rmGT4 . Finaly, we study a unified approach of weak separation axioms in multi generalized topological spaces like Dg − mset and g − R0 and g − R1 spaces.