New Classes of Open Sets in Topological Spaces

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Beyda S. Abdullah, Sabih W. Askandar, Amir A. Mohammed

Abstract

In this paper, we have introduce a new open sets in topological spaces named ic-open sets. We present the relation of ic-open sets with other classes of open sets namely : semi-open, ,  and i  -open sets. Furthermore, we introduce the notion of ic-continuous map on topological spaces and we prove some properties and characterizations. Also, we study some separation axioms of this new class.   Finally, depending on ic-open sets we define a new class called icc-open set and we discuss the same results obtained by the first one, as each open (closed) set in a topological spaces of any kind  is icc-open (icc-closed) set

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How to Cite
Beyda S. Abdullah, Sabih W. Askandar, Amir A. Mohammed. (2022). New Classes of Open Sets in Topological Spaces. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 13(03), 247–256. https://doi.org/10.17762/turcomat.v13i03.12930
Section
Research Articles