Porous subsets in the space of functions having the Baire property-Reference-Cited by-同舟云学术

Porous subsets in the space of functions having the Baire property

Published:2017-11-01 Issue:6 Volume:67 Page:1333-1344
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Ivanova Gertruda¹,Wagner-Bojakowska Elżbieta²

Affiliation:

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

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

Abstract

Abstract The comparison of some subfamilies of the family of functions on the real line having the Baire property in porosity terms is given. We prove that the family of all quasi-continuous functions is strongly porous set in the family of all cliquish functions and that the family of all cliquish functions is strongly porous set in the family of all functions having the Baire property. We prove also that the family of all Świątkowski functions is lower 2/3-porous set in the family of cliquish functions and the family of functions having the internally Świątkowski property is lower 2/3-porous set in the family of cliquish functions.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0055/pdf

Reference23 articles.

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3. Filipczak, M.—Ivanova, G.—Wódka, J.: Comparison of some families of real functions in porosity terms, Math. Slovaca 67 (2017), 1155–1164.

4. Ivanova, G.—Karasińska, A.—Wagner-Bojakowska, E.: Comparison of some subfamilies of functions having the Baire property, Tatra Mt. Math. Publ. 65 (2016), 151–159.

5. Ivanova, G.—Wagner-Bojakowska, E.: On some modification of Świątkowski property, Tatra Mt. Math. Publ. 58 (2014), 101–109.

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