Topological Features of ic- Open Sets

Main Article Content

Beyda S. Abdullah
Sami Abdullah Abed
Amir A. Mohammed

Abstract

Using the idea of ic-open sets, we introduce and investigate the topological qualities of an ic-closure, ic-interior, ic-limit points, ic-derived, ic-border, ic-frontier, and ic-exterior of a set. Introduce the concepts of "ic-continuous mappings," "ic-open mappings," "ic-irresolute mappings," "ic-totally continuous mappings," and "ic-homeomorphism," and then look into some of the properties of these mappings

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How to Cite
Beyda S. Abdullah, Sami Abdullah Abed, & Amir A. Mohammed. (2023). Topological Features of ic- Open Sets. Tikrit Journal of Pure Science, 27(6), 76–81. https://doi.org/10.25130/tjps.v27i6.762
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Articles

References

[1] Abdullah. B.S, Askander.S,W and Mohammed.

A.A, "New Class of Open Sets in Topological Space",

Turkish Journal of Computer and Mathematics

Education, Vol. 13, No. o3(2022), 247-256.

[2] Askander,S.W and Mohammed,A.A." i-Open

Sets in bi-Topological Spaces", AL Rafidain Journal

of Computer Sciences and Mathematics, 12 (2018),

13-23.

[3] Njastad. O. (1965) "On some classes of nearly

open sets". Pacific Journal of Mathematics, 15, 961-

970. https://doi.org/10.2140/pim.1965.15.961.

[4] Levine. N. (1963) "Semi-open sets and semicontinuity

in topological spaces". The American

Mathematical Monthly, 70, 36-41.

https://doi.org/10.2307/2312781