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Strong <Emphasis Type=”Italic”> B<Subscript>I</Subscript></Emphasis>-sets and a decomposition of continuity via idealization

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Summary

We introduce the notions of <Emphasis Type=”Italic”>Q<Subscript>I</Subscript></Emphasis>-sets and strong <Emphasis Type=”Italic”>B<Subscript>I</Subscript></Emphasis> -sets. Then we investigate properties of strong <Emphasis Type=”Italic”>B<Subscript>I</Subscript></Emphasis> -sets. Additionally, we obtain a new decomposition of continuity via idealization by using strong <Emphasis Type=”Italic”>B<Subscript>I</Subscript></Emphasis> -sets. Consequently, we extend a decomposition theorem of Dontchev [5] in terms of ideals.

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  1. Department of Mathematics, Faculty of Science and Arts, Selcuk University, Campus 42031 Konya, Turkey

    Saziye Yuksel

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  1. Saziye Yuksel
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Yuksel, S. Strong <Emphasis Type=”Italic”> B<Subscript>I</Subscript></Emphasis>-sets and a decomposition of continuity via idealization. Acta Math Hung 107, 109–117 (2005). https://doi.org/10.1007/s10474-005-0182-2

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  • DOI: https://doi.org/10.1007/s10474-005-0182-2

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