IJPAM: Volume 102, No. 4 (2015)

ALMOST $\sigma$-CONTINUITY ON $\sigma$-STRUCTURES

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


Abstract. We introduce to the notion of almost $\sigma$-continuity on $\sigma$-structures and investigate the relation among $\sigma$-continuity, weak $\sigma$-continuity and almost $\sigma$-continuity. We also investigate characterizations for such continuity by using $\sigma$-semiopen sets, $\sigma$-preopen sets, $\sigma$-$\beta$-open sets, $\sigma$-regular open sets, and $\sigma$-$\delta$-open sets.

Received: February 4, 2015

AMS Subject Classification: 54A05

Key Words and Phrases: $\sigma$-structure, weak $\sigma$-continuity, $\sigma$-semiopen, $\sigma$-preopen, $\sigma$-$\beta$-open, $\sigma$-regular open, $\sigma$-$\delta$-open

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DOI: 10.12732/ijpam.v102i4.9 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: 2015
Volume: 102
Issue: 4
Pages: 701 - 709


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