Comparison of Some Subfamilies of Functions Having The Baire Property

Gertruda Ivanova; Aleksandra Karasińska; Elżbieta Wagner-Bojakowska

doi:10.1515/tmmp-2016-0013

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Comparison of Some Subfamilies of Functions Having The Baire Property

Tatra Mountains Mathematical Publications

Volume 65 (2016): Issue 1 (March 2016)

By: Gertruda Ivanova, Aleksandra Karasińska and Elżbieta Wagner-Bojakowska

Open Access

|Aug 2016

Abstract

We prove that the family Q of quasi-continuous functions is a strongly porous set in the space Ba of functions having the Baire property. Moreover, the family DQ of all Darboux quasi-continuous functions is a strongly porous set in the space DBa of Darboux functions having the Baire property. It implies that each family of all functions having the A-Darboux property is strongly porous in DBa if A has the (∗)-property.

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Articles in this issue

DOI: https://doi.org/10.1515/tmmp-2016-0013 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 151 - 159

Submitted on: Nov 19, 2015

Published on: Aug 4, 2016

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Darboux property,

Baire property,

quasi-continuous functions,

porous set

Related subjects:

Mathematics,

General mathematics

© 2016 Gertruda Ivanova, Aleksandra Karasińska, Elżbieta Wagner-Bojakowska, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 65 (2016): Issue 1 (March 2016)