Journal of Applied & Computational Mathematics

"On h-open sets and h-continuous functions

Abstract

Huseyin Cakalli

The author introduced a new topology depending on the original topology on a non-empty set in the paper entitled”On h-open sets and h-continuous functions” by Fadhil Abbas, published in Journal of Applied and Computational Mathematics [1]. However, there are two false theorems and two false examples, namely Theorem 3.5, Theorem 3.8, Example 2.4, and Example 2.5 are unfortunately wrong. 1) Theorem 3.5 is wrong as a counter-example is given in the following