10 citations · 19 across the 6 of their papers we have counts for
6 papers
Returning functions with closed graph are continuous
Taras Banakh, Małgorzata Filipczak, Julia Wódka
A function defined on a topological space is called returning if for any point there exists a positive real number such that for every path-co…
On generating regular Cantorvals connected with geometric Cantor sets
Artur Bartoszewicz, Małgorzata Filipczak, Szymon Głcab +2
We show that the Cantorvals connected with the geometric Cantor sets are not achievement sets of any series. However many of them are attractors of IFS consisting of affine functio…
Topological and measure properties of some self-similar sets
Taras Banakh, Artur Bartoszewicz, Malgorzata Filipczak +1
Given a finite subset and a positive real number we study topological and measure-theoretic properties of the self-similar set $K(Σ;q)=\big\{\sum_{n=0}^\…
Strong c-algebrability of strong Sierpiński-Zygmund, smooth nowhere analytic and other sets of functions
Artur Bartoszewicz, Marek Bienias, Malgorzata Filipczak +1
We present a useful technique of proving strong -algebrability. As an outcome we obtain the strong -algebrability of the following sets of functions: st…
Multigeometric sequences and Cantorvals
Artur Bartoszewicz, Małgorzata Filipczak, Emilia Szymonik
For a sequence , one can consider the achievement set of all subsums of series . It is known that is one of the…
Nonseparable spaceability and strong algebrability of sets of continuous singular functions
Marek Balcerzak, Artur Bartoszewicz, Malgorzata Filipczak
Let CBV denote the Banach algebra of all continuous real-valued functions of bounded variation, defined in [0,1]. We show that the set of strongly singular functions in CBV is nons…