A Controlled Hahn-Mazurkiewicz Theorem and its Applications

Taras Banakh, Tetiana Martyniuk, Magdalena Nowak +1

For a metric Peano continuum $X$, let $S_X$ be a Sierpiński function assigning to each $\epsilon >0$ the smallest cardinality of a cover of $X$ by connected subsets of diameter $…