Published Jan 25, 2018



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Samer Al Ghour

Kafa Mansur

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Abstract

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.

Keywords

Semi-open set, ω-open set, Semi-continuous function

References
How to Cite
Al Ghour, S., & Mansur, K. (2018). Between Open Sets and Semi-Open Sets. Universitas Scientiarum, 23(1), 9–20. https://doi.org/10.11144/Javeriana.SC23-1.bosa
Section
Matemáticas y Estadística / Mathematics and Statistics / Matemática e Estatística