A note on some forms of continuity

https://doi.org/10.5281/zenodo.5728212

• Zanyar Ameen Deptartment of Mathematics, College of Science, University of Duhok https://orcid.org/0000-0003-0740-3331

Keywords: quasicontinuous, almost quasicontinuous, semicontinuous, precontinuous, α-continuous, b-continuous, β-continuous, somewhat continuous, somewhat nearly continuous

Abstract

New connections and characterizations of some classes of continuous functions are obtained. In particular, we characterize quasicontinuity and almost quasicontinuity in terms of weak types of open sets.

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