Remarks on $\gamma$-operations induced by a topology
Commun. Korean Math. Soc. 2011 Vol. 26, No. 2, 291-296
https://doi.org/10.4134/CKMS.2011.26.2.291
Printed June 1, 2011
Won Keun Min
Kangwon National University
Abstract : Cs\'{a}sz\'{a}r [3] introduced the notions of $\gamma$-compact and $\gamma$-opera-tion on a topological space. In this paper, we introduce the notions of almost $\Gamma$-compact, $(\gamma, \tau)$-continuous function and $(\gamma, \tau)$-open function defined by $\gamma$-operation on a topological space and investigate some properties for such notions.
Keywords : $(\gamma, \tau)$-continuous, $(\gamma, \tau)$-open, $\Gamma$-closed graph, strongly $\Gamma$-closed graph, $\gamma$-compact, almost $\Gamma$-compact
MSC numbers : 54A05
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