Some results on generalized topological spaces and generalized systems

Author: Min, Won Keun

Source: Acta Mathematica Hungarica, Volume 108, Numbers 1-2, July 2005 , pp. 171-181(11)

Publisher: Springer

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Abstract:

<Para OutputMedium="All">We characterize some properties of generalized topological spaces and (g,g’)-continuity by using an interior operator defined on a generalized topological space. Also, we introduce the notions of (psi, psi’)-open map, gn-continuity, gn-open map and investigate their properties by using new interior (or closure) operators defined on generalized neighborhood systems of a nonempty set.</Para>

Keywords: (?; (g; g’)-continuous; ?’)-continuous; generalized interior operator; generalized interior map; ?’)-open map; gn-continuous; gn-open map; m-family

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s10474-005-0218-7

Affiliations: 1: Department of Mathematics, Kangwon National University, Chuncheon, 200-701, Korea,

Publication date: 2005-07-01

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