Review

Finitely continuous Darboux functions

Published in: Quaestiones Mathematicae
Volume 44 , issue 8 , 2021 , pages: 1037–1044

DOI: 10.2989/16073606.2020.1763494

Author(s): Marcin Kowalewski , Poland , Mariola Marciniak , Poland

Keywords: Primary: 26A21 , 54C30 , Secondary: 26A15 , 54C08 , Primary: 26A21 , 54C30 , Secondary: 26A15 , 54C08

Abstract

In this paper we consider properties of the class of finitely continuous Darboux functions. In particular, we study some properties of the set of discontinuity points of the function from this class. We show some relations between the family of all Darboux finitely continuous functions and the family of all Darboux strong finitely continuous functions or Baire-one-star Darboux functions.

« k-tuple restrained domination in graphs

Division closed ℓ-rings and power positive L^∗ -rings »