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math.GN2019★ 2 cited
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.GN2014
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}^\…