IJPAM: Volume 46, No. 2 (2008)

$\gamma^*$-REGULAR, $\gamma$-LOCALLY COMPACT

B. Ahmad$^1$Department of Mathematics, King Abdul Aziz University, P.O. Box 80203, Jeddah 21589, KINGDOM OF SAUDI ARABIA, S. Hussain$^2$
$^1$Centre for Advanced Studies in Pure and Applied Mathematics
Bahauddin Zakariya University
e-mail: drbashir9@gmail.com
$^2$Department of Mathematics
Islamia University
Bahawalpur, PAKISTAN
e-mail: sabiriub@yahoo.com

Abstract.We continue studying the properties of $\gamma_0$-compact, $\gamma^*$-regular and $\gamma$-normal spaces defined in [5]. We also define and discuss $\gamma$-locally compact spaces.

Received: January 12, 2008

AMS Subject Classification: 54A05, 54A10, 54D10

Key Words and Phrases: $\gamma$-closed(open), $\gamma$-closure, $\gamma$-regular(open), $(\gamma,\beta)$-continuous (closed, open) function, $(\gamma,\beta)$-homeomorphism, $\gamma$-nbd, $\gamma$-$T_2$ spaces, $\gamma_0$-compact, $\gamma^*$-regular space, $\gamma$-normal space and $\gamma$-locally compact spaces

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 46
Issue: 2