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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References
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W. K. Min, (δ,δ′)-continuity on generalized topological spaces, Acta Math. Hungar., accepted.
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Kim, Y.K., Min, W.K. Remarks on enlargements of generalized topologies. Acta Math Hung 130, 390–395 (2011). https://doi.org/10.1007/s10474-010-0018-6
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DOI: https://doi.org/10.1007/s10474-010-0018-6