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On some generalization of the notion of continuity. Category case

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Abstract

We consider A-continuity, that is, continuity with respect to some family A of subsets in the domain. We prove that each family of all A-continuous functions is a strongly porous set in the space of quasicontinuous functions if A is a translation-invariant topology having the (*)-property.

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Authors and Affiliations

  1. Institute of Mathematics, Pomeranian University in Słupsk, Kozietulskiego 6-7, 76–200, Słupsk, Poland

    Gertruda Ivanova

  2. Faculty of Mathematics and Computer Science, Łódź University, Stefana Banacha 22, 90–238, Łódź, Poland

    Elżbieta Wagner-Bojakowska

Authors
  1. Gertruda Ivanova
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  2. Elżbieta Wagner-Bojakowska
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Correspondence to Gertruda Ivanova.

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Ivanova, G., Wagner-Bojakowska, E. On some generalization of the notion of continuity. Category case. Lith Math J 59, 357–365 (2019). https://doi.org/10.1007/s10986-019-09447-8

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  • DOI: https://doi.org/10.1007/s10986-019-09447-8

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