<b>On a class of &alpha;<sub>&gamma;</sub>-open sets in a topological space</b> - doi: 10.4025/actascitechnol.v35i3.15788

Authors

  • Hariwan Zikri Ibrahim University of Zakh

DOI:

https://doi.org/10.4025/actascitechnol.v35i3.15788

Keywords:

gamma-open set, gamma_alpha-open set, gamma_alpha-g.closed set.

Abstract

In this paper, we introduce the concept of αγ-open sets as a generalization of γ-open sets in a topological space (X, τ). Using this set, we introduce αγT0, αγ-T½, αγT1, αγT2, αγD0, αγD1 and αγD2 spaces and study some of its properties. Finally we introduce α(γ,γ')-continuous mappings and give some properties of such mappings.

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Author Biography

Hariwan Zikri Ibrahim, University of Zakh

Department of Mathematics, Faculty of Science, University of Zakho, Kurdistan-Region, Iraq

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Published

2013-02-27

How to Cite

Ibrahim, H. Z. (2013). <b>On a class of &alpha;<sub>&gamma;</sub>-open sets in a topological space</b> - doi: 10.4025/actascitechnol.v35i3.15788. Acta Scientiarum. Technology, 35(3), 539–545. https://doi.org/10.4025/actascitechnol.v35i3.15788

Issue

Vol. 35 No. 3 (2013)

Section

Mathematics

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