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Topology |
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Authors: Fadhil Hussein Abbas
In this paper, we introduce the notion of L-ideal in L-set theory. Also we introduce the concept of L-local function. These concepts are discussed with a view to find new L-topologies from the original one. The basic structure, especially a basis for such generated L-topologies also studied here. The notion of L-compatibility of L-ideals with L-topologies is introduced and some equivalent conditions concerning this topic are established here. Moreover, by using L-local function we introduce L-operator ψ satisfying ψ(AL) = 1X – (1X – AL)*, for all AL ⊆ LX and we discuss some characterizations this L-operator by use L-open sets.
Comments: 11 Pages.
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[v1] 2021-02-04 20:30:15
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