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 2024Show all

4 papers · 1 filter

math.GN2024

Borel complexity of sets of ideal limit points

Rafal Filipow, Adam Kwela, Paolo Leonetti

Let $X$ be an uncountable Polish space and let $I$ be an ideal on $ω$ . A point $η \in X$ is an $I$ -limit point of a sequence $(x_{n})$ taking values in $X$ if ther…

math.GN2024

Topological complexity of ideal limit points

Marek Balcerzak, Szymon Glab, Paolo Leonetti

Given an ideal $I$ on the nonnegative integers $ω$ and a Polish space $X$ , let $L (I)$ be the family of subsets $S \subseteq X$ such that $S$ is the set…

math.FA2024

Core equality of real sequences

Paolo Leonetti

Given an ideal $I$ on $ω$ and a bounded real sequence $x$ , we denote by $core_{x} (I)$ the smallest interval $[a, b]$ such that $\{n \in…

math.FA2024

Strong universality, recurrence, and analytic P-ideals in dynamical systems

Paolo Leonetti

Given a dynamical system $(X, T)$ and a family $I \subseteq P (ω)$ of "small" sets of nonnegative integers, a point $x \in X$ is said to be $I$ -strong univ…