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Original scientific paper

A note on $\delta \alpha -I-open$ $sets$ and $semi^{\ast }-I-open$ $% sets$

Esref Hatir orcid id orcid.org/0000-0001-5643-2636 ; Selcuk University, Education Faculty, Meram-Konya, Turkey


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Abstract

In this paper, we investigated some properties of a $ \delta \alpha -I-open$ $set$ $\left[ 6\right] $ and a $semi^{\ast }-I-open$ $set$ $\left[ 6\right] $ in ideal topological spaces$.$ Moreover, the relationships of other related classes of sets are investigated. Also, a new decomposition of continuous functions is obtained by using $\ \delta -\beta -I-$\textit{continuous} and $% \ S^{\ast }-continuous$ \ functions.

Keywords

ideal topological space; $semi^{\ast }-I-open$ \ $set; $ $\delta \alpha -I-open$ $set; $ $S^{\ast }-continuous$

Hrčak ID:

74884

URI

https://hrcak.srce.hr/74884

Publication date:

21.12.2011.

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