IJPAM: Volume 41, No. 6 (2007)

SEMI $\omega^0$-CONTINUOUS FUNCTIONS

Jamal M. Mustafa
Department of Mathematics
Al Al-Bayt University
P.O. Box 130095, Mafraq, JORDAN
e-mail: jjmmrr971@yahoo.com


Abstract.In this paper, we introduce and study the class of semi $\omega^0$-open subsets of a topological space $(X,\tau)$ then we study the semi $\omega^0$-interior and the semi $\omega^0$-closure. Also we define what we call semi $\omega^0$-continuous function and we give several properties and characterizations of this function.

Received: July 18, 2007

AMS Subject Classification: 54C08, 54C05, 54C10

Key Words and Phrases: semi $\omega^0$-open set, semi $\omega^0$-interior, semi $\omega^0$-closure, semi $\omega^0$-continuity

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 41
Issue: 6