Piotr Nowakowski

activity

20232026

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3 papers · 1 filter

math.CA2026

More on dominated and microscopic sets

Ondřej Zindulka, Piotr Nowakowski, Cristina Villanueva-Segovia

Let $S$ be a family of sequences decreasing to zero. A set $E$ in a metric space is $S$ -dominated if, for every $s \in S$ , there exists a countable cover ${E_{n}}$ of $E$ such that…

math.CA2026

A characterization of uniqueness of purely atomic finite measures with central Cantor set range

Piotr Nowakowski, Franciszek Prus-Wiśniowski

We study purely atomic measures whose range is a central Cantor set and characterize those central Cantor sets that are the range of exactly one such measure. Next, we extend the c…

math.CA2026

Dominated sets, microscopic sets and Hausdorff measures

Ondřej Zindulka, Piotr Nowakowski

Let $S$ be a family of sequences of positive numbers that decrease to 0, let $X$ be a metric space and $A \subset X$ . $A$ is said to be $S$ -dominated if, for every $s \in S$ , a coun…