Translator Disclaimer
2022 On Density and Sigma-Porosity in Some Families of Darboux Functions
Gertruda Ivanova, Irena Domnik
Author Affiliations +
Real Anal. Exchange 47(1): 63-74 (2022). DOI: 10.14321/realanalexch.47.1.1590599512

Abstract

A cliquish function $f: \mathbb R\to\mathbb R$ is internally cliquish if its set of discontinuity points is nowhere dense. A Baire $1$ function $f: \mathbb R\to\mathbb R$ is internally Baire $1$ if its set of discontinuity points is nowhere dense. In this paper we proved that the set of Darboux internally cliquish (Baire $1$) functions is dense and $\sigma$-strongly porous in the family of Darboux cliquish (Baire $1$) functions.

Citation

Download Citation

Gertruda Ivanova. Irena Domnik. "On Density and Sigma-Porosity in Some Families of Darboux Functions." Real Anal. Exchange 47 (1) 63 - 74, 2022. https://doi.org/10.14321/realanalexch.47.1.1590599512

Information

Published: 2022
First available in Project Euclid: 13 June 2022

Digital Object Identifier: 10.14321/realanalexch.47.1.1590599512

Subjects:
Primary: 26A30
Secondary: ‎54C30 , 54C35‎

Keywords: Baire 1 function , cliquish function , Darboux property , function spaces , porosity

Rights: Copyright © 2022 Michigan State University Press

JOURNAL ARTICLE
12 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.47 • No. 1 • 2022
Back to Top