IJPAM: Volume 110, No. 2 (2016)

Title

ON GENERALIZED $w$-CLOSED SETS IN $w$-SPACES

Authors

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

Abstract

The purpose of this note is to introduce the notions of generalized $w$-closed set and generalized $w$-open set in $w$-spaces. In fact, every $w$-open set is generalized $w$-open in a given $w$-space. We study some basic properties of such the notions and the conditions of $W$-continuous functions which preserve generalized $w$-closed sets or generalized $w$-open sets.

History

Received: June 31, 2016
Revised: September 14, 2016
Published: November 5, 2016

AMS Classification, Key Words

AMS Subject Classification: 54A05, 54B10, 54C10
Key Words and Phrases: $w$-spaces, generalized $w$-open($w$-closed), $W(W^*)$-continuous, $W^*$-closed function, quasi-$W^*$-closed function.

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How to Cite?

DOI: 10.12732/ijpam.v110i2.7 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: 110
Issue: 2
Pages: 327 - 335


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