A. Bartoszewicz

activity

20112023

most citedLarge free linear algebras of real and complex functions

20 citations · 58 across the 13 of their papers we have counts for

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3 papers · 1 filter

math.GN2014

Topological and measure properties of some self-similar sets

Taras Banakh, Artur Bartoszewicz, Malgorzata Filipczak +1

Given a finite subset $Σ \subset R$ and a positive real number $q < 1$ we study topological and measure-theoretic properties of the self-similar set $K(Σ;q)=\big\{\sum_{n=0}^\…

math.GN2012★ 4 cited

Algebraic and topological properties of some sets in $l_{1}$

T. Banakh, A. Bartoszewicz, Sz. Glab +1

For a sequence $x \in l_{1} ∖ c_{00}$ , one can consider the set $E (x)$ of all subsums of series $\sum_{n = 1}^{\infty} x (n)$ . Guthrie and Nymann proved that $E (x)$ is one of th…

math.GN2012★ 1 cited

The continuity properties of compact-preserving functions

Taras Banakh, Artur Bartoszewicz, Marek Bienias +1

A function $f : X \to Y$ between topological spaces is called {\em compact-preserving} if the image $f (K)$ of each compact subset $K \subset X$ is compact. We prove that a function $f:…

Topological and measure properties of some self-similar sets

Algebraic and topological properties of some sets in l1​

The continuity properties of compact-preserving functions

Algebraic and topological properties of some sets in $l_{1}$