Porosity of 𝓢-approximately continuous functions-Reference-Cited by-同舟云学术

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Porosity of 𝓢-approximately continuous functions

Published:2020-02-25 Issue:1 Volume:70 Page:183-192
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:
Short-container-title:

Author:

Ivanova Gertruda¹,Wiertelak Renata²

Affiliation:

1. Institute of Mathematics, Pomeranian University in Słupsk, Kozietulskiego 6/7, PL-76200, Słupsk, Poland

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

Abstract

AbstractConsidering the natural topology or 𝓢-density topology on the domain and on the range we obtain different families of continuous functions f : ℝ → ℝ. In this paper we compare these families in porosity terms. In particular, we obtain strengthening of some recent results by J. Hejduk, A. Loranty, R. Wiertelak.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0343/pdf

Reference40 articles.

1. On some subclasses of the family of Darboux Baire 1 functions;Opuscula Math.,2014

2. On some modification of Świátkowski property;Tatra Mt. Math. Publ.,2014

3. Algebrability of 𝓢-continuous functions;Topology Appl.,2017

4. Algebrability of 𝓢-continuous functions;Topology Appl.,2017

5. Comparison of some subfamilies of functions having the Baire property;Tatra Mt. Math. Publ.,2016

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1. Comparison of families of S-continuous functions;Topology and its Applications;2021-08

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