Remarks on enlargements of generalized topologies |
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Authors: | Young Key Kim Won Keun Min |
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Affiliation: | 1.Department of Mathematics,MyongJi University,Youngin,Korea;2.Department of Mathematics,Kangwon National University,Chuncheon,Korea |
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Abstract: | The concept of enlargement of a generalized topology was introduced by á. Császár [4]. He also introduced the concepts of (κ,λ)-continuity and (κ μ ,λ ν)-continuity on enlargements. In this paper, we characterize the (κ,λ)-continuity and introduce the concept of strong (κ,λ)-continuity on enlargements. In particular, we study characterizations for the strong (κ,λ)-continuity and the relationships among (μ,ν)-continuity, (κ,λ)-continuity, strong (κ,λ)-continuity and (κ μ ,λ ν)-continuity. |
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