Acta Mathematica Hungarica

, Volume 128, Issue 4, pp 299-306

First online:

Generalized continuous functions defined by generalized open sets on generalized topological spaces

  • W. K. MinAffiliated withDepartment of Mathematics, Kangwon National University Email author 

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We introduce generalized continuous functions defined by generalized open (= g-α-open, g-semi-open, g-preopen, g-β-open) sets in generalized topological spaces which are generalized (g, g′)-continuous functions. We investigate characterizations and relationships among such functions.

Key words and phrases

(g, g′)-continuous (α, g′)-continuous (σ, g′)-continuous (π, g′)-continuous (β, g′)-continuous

2000 Mathematics Subject Classification