3 papers
math.GN2023
On the connectivity of graph Lipscomb's space
W. Kubiś, R. Miculescu, A. Mihail +1
A central role in topological dimension theory is played by Lipscomb's space since it is a universal space for metric spaces of weight . On the one han…
math.MG2023
A Controlled Hahn-Mazurkiewicz Theorem and its Applications
Taras Banakh, Tetiana Martyniuk, Magdalena Nowak +1
For a metric Peano continuum , let be a Sierpiński function assigning to each the smallest cardinality of a cover of by connected subsets of diameter $…
math.DS2012
A class of continua that are not attractors of any IFS
Marcin Kulczycki, Magdalena Nowak
This paper presents a sufficient condition for a continuum in to be embeddable in in such a way that its image is not an attractor of any iterated function system. An e…