fI-sets and decomposition of RIC-continuity

Author: Keskin A.   Noiri T.   Yuksel S.  

Publisher: Springer Publishing Company

ISSN: 0236-5294

Source: Acta Mathematica Hungarica, Vol.104, Iss.4, 2004-01, pp. : 307-313

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Abstract

First, we introduce the notion of fI-sets and investigate their properties in ideal topological spaces. Then, we also introduce the notions of RIC-continuous, fI-continuous and contra*-continuous functions and we show that a function f: (X,&tgr;,I) to (Y,φ) is RIC -continuous if and only if it is fI-continuous and contra*-continuous.