3 papers
math.GN2019
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…
math.CA2017
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…
math.FA2013
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…