IJPAM: Volume 98, No. 3 (2015)

REMARKS ON GENERALIZED TOPOLOGIES
INDUCED BY SUPRA-NEIGHBORHOOD SYSTEMS

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 investigate some properties for the generalized topological space induced by a given supra-neighborhood system. And we introduce the notions of $S _{I^*}$-continuity and $(sn)^*$-continuity, and study the relations among $S _{I^*}$-continuity, $(sn)^*$-continuity and the other continui.

Received: August 23, 2014

AMS Subject Classification: 54A05, 54C05

Key Words and Phrases: supra-neighborhood system, supra-neighborhood space, $S _{I^*}$-continuity, $(sn)^*$-continuity, $s'$-convergence of $m$-family

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DOI: 10.12732/ijpam.v98i3.4 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: 98
Issue: 3
Pages: 323 - 332


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