From the 1 of 15 linked papers with an AI index.
15 papers
On non-symmetric -convexity
Paolo Leonetti
Zsolt Páles asked whether there exists a function such that …
Linear relations modulo meager sets
Marek Balcerzak, Paolo Leonetti
We prove several topological zero-one laws. First, we show that, if a subset of a Banach space has the Baire property, then admits a somewhere dense set of vectors $x \…
Characterized subgroups on the unit circle
Rafal Filipow, Adam kwela, Paolo Leonetti +1
The paper investigates subgroups of the unit circle that can be described via convergence along an ideal, establishing complexity bounds, connections with ideal reductions, and con…
On maximal families of independent sets with respect to asymptotic density
Jonathan M. Keith, Paolo Leonetti
We study families of subsets of which are independent with respect to the asymptotic density . We show, for instance, that there exists a maximal -inde…
Completeness and additive property for submeasures
Jonathan M. Keith, Paolo Leonetti
Given an extended real-valued submeasure defined on a field of subsets of a given set, we provide necessary and sufficient conditions for which the pseudometric de…
On rough ideal convergence
Paolo Leonetti
We continue the study of ideal convergence for sequences with values in a topological space with respect to a family of subsets of with $η\in F_…