P. Leonetti

activity

20122026

most citedOn the notions of upper and lower density

20 citations · 109 across the 55 of their papers we have counts for

collaborators

Showing 2026 · math.GNShow all

4 papers · 2 filters

math.GN2026

Complexity and Polishability of characterized subgroups on the unit circle

Paolo Leonetti

Given an ideal $I$ on $ω$ , a subgroup $H$ of the unit circle $T$ is said to be $I$ -characterized if there exists a sequence of integers $(a_{n} : n \in ω)$ such…

math.GN2026

Linear relations modulo meager sets

Marek Balcerzak, Paolo Leonetti

We prove several topological zero-one laws. First, we show that, if a subset $A$ of a Banach space $X$ has the Baire property, then $A$ admits a somewhere dense set of vectors $x \…

math.GN2026

On rough ideal convergence

Paolo Leonetti

We continue the study of ideal convergence for sequences $(x_{n})$ with values in a topological space $X$ with respect to a family ${F_{η} : η \in X}$ of subsets of $X$ with $η \in F_{η}$ ,…

math.GN2026

Sets of Ramsey-limit points and IP-limit points

Rafał Filipów, Adam Kwela, Paolo Leonetti

Let $X$ be an uncountable Polish space and let $H$ be the Hindman ideal, that is, the family of all $S \subseteq ω$ which are not $I P$ -sets. For each sequence $x=(x_n)_{n…