Between Open Sets and Semi-Open Sets

Samer Al Ghour, Kafa Mansur


We introduce and investigate ω_s-open sets as a new class of sets which are strictly between open sets and semi-open sets. Then we use ω_s-open sets to introduce ω_s-continuous functions as a new class of functions between continuous functions and semi-continuous functions. We give several results and examples regarding our new concepts. In particular, we obtain some characterizations of ω_s-continuous functions.


Semi-open set ; ω-open set ; Semi-continuous

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