IJPAM: Volume 109, No. 3 (2016)

SOME RESULTS FOR
CONTINUOUS FUNCTIONS ON WEAK SPACES

Young Key Kim$^1$, Won Keun Min$^2$
$^1$Department of Mathematics
MyongJi University
Yongin, 449-728, KOREA
$^2$Department of Mathematics
Kangwon National University
Chuncheon, 200-701, KOREA

Abstract. In this article, we consider the triple $(X, w, \tau_X)$ where $w$ is a weak structure with an associated topology $\tau$. The purpose of this article is to study the relationships among several continuities( continuity, $W$($W^*$)-continuity, $wO$-continuity, $wK$-continuity) defined in $w$-spaces with associated topologies.

In particular, we investigate the new continuity, say $Ow$-continuity, defined in $w$-spaces with associated topologies, and study the characterizations of $Ow$-continuity and the relationships among $Ow$-continuity and several continuities.

Received: May 31, 2016

Revised: July 20, 2016

Published: October 1, 2016

AMS Subject Classification: 54A05, 54B10, 54C10, 54D30

Key Words and Phrases: weak spaces, $W^*$-continuous, $W$-continuity, $WO$-continuity, $WK$-continuity, $wO$-continuity, $wK$-continuity, $Ow$-continuity
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DOI: 10.12732/ijpam.v109i3.20 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: 109
Issue: 3
Pages: 737 - 743


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