In this paper we introduce some notions which are related to quasi-continuity and a strong
Świątkowski property. We examine the basic properties, the uniform closure, and several …

The main objective of this article is to show that generalized differentiation can be
understood as a process of comparing functions and their generalized continuity properties …

Abstract Properties of the families of finitely continuous and strong finitely continuous
functions are investigated. We show that the Darboux property implies continuity of strong …

We study the set of discontinuity points of real-valued Darboux functions with nowhere
dense graphs. It is shown to be meager. By generic constructions we show that it can be any …

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 …

In this paper we shall show that the set C of all bounded continuous functions is
superporous in the space DB**< sub> 1. Moreover, for an arbitrary function f defined on C …

[4] Page 1 [4] mitive geometries Pasini et al. ed., thieu group M2, e Mathieu group 372. f J2,
Note Mat., o sporadic group 67. of M22, Designs, ive geometries of , 2003. e Mathieu group …

If (X, T) is a topological normal space, then by well known Tietze extension theorem, for each
nonempty closed set A⊂ X and every continuous function g: A→[0, 1] there is a continuous …

In this paper we shall show that the set \calC of all bounded continuous functions is
superporous in the space \calDB_1^**. Moreover, for an arbitrary function f defined on \calC …