A. Bruno

collaborators

3 papers

math.GR2025

The Protasov-Zelenyuk topology and ideal convergence

Lydia AuÃenhofer, Dikran Dikranjan, Anna Giordano Bruno

The so-called $T$ -sequences $u$ in a group $G$ , and the related finest Hausdorff group topology $T_{u}$ on $G$ that makes $u$ a null sequence, were introduced…

math.GN2025

Nested ideals and topologically $u_{I}$ -torsion elements of the circle group

R. Di santo, D. Dikranjan, A. Giordano Bruno +1

Let $u = (u_{n})_{n \in N}$ be a sequence in $N_{+}$ with $u_{0} = 1$ and $u_{n} ∣ u_{n + 1}$ for every $n \in N$ , and let $b_{n} := u_{n + 1} / u_{n}$ for every $n\in\mathbb…

math.GN2025

Element-wise description of the $I$ -characterized subgroups of the circle

Raffaele Di Santo, Dikran Dikranjan, Anna Giordano Bruno +1

According to Cartan, given an ideal $I$ of $N$ , a sequence $(x_{n})_{n \in N}$ in the circle group $T$ is said to {\em $I$ -converge} to a poin…

The Protasov-Zelenyuk topology and ideal convergence

Nested ideals and topologically uI​-torsion elements of the circle group

Element-wise description of the I-characterized subgroups of the circle

Nested ideals and topologically $u_{I}$ -torsion elements of the circle group

Element-wise description of the $I$ -characterized subgroups of the circle