IJPAM: Volume 108, No. 3 (2016)

FURTHER CHARACTERIZATIONS OF
$\gamma$-EXTREMALLY DISCONNECTED SPACES

Baravan A. Asaad$^1$, Nazihah Ahmad$^2$
$^1$Department of Mathematics
Faculty of Science
University of Zakho
Kurdistan region, IRAQ
$^2$School of Quantitative Sciences
College of Arts and Sciences
Universiti Utara Malaysia
06010 Sintok, Kedah, MALAYSIA


Abstract. Recently, Asaad, Ahmad and Omar [#!A1!#] introduced the notion of $\gamma$-extremally disconnected spaces and studied some of its properties. In this paper, we introduce further characterizations of $\gamma$-extremally disconnected spaces by utilizing $\gamma$- sets. Moreover, some relations of functions of $\gamma$-extremally disconnected spaces has been defined.

Received: February 11, 2016

AMS Subject Classification: 54G05, 54A05, 54C05, 54C10

Key Words and Phrases: $\gamma$-extremally disconnected spaces, $\alpha$-$\gamma$-open sets, $\gamma$-$\kappa$-open sets, where $\kappa\in $ {regular, $\delta$, $\theta$, pre, semi, $b$, $\beta\}$

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DOI: 10.12732/ijpam.v108i3.6 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 108
Issue: 3
Pages: 533 - 549


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