D. Dikranjan

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.GR2025

The Structure of Sequentially Complete Locally Minimal Groups

Dikran Dikranjan, Wei He, Dekui Peng

Generalizing results from \cite{DTk,DU} we study the fine structure of locally minimal (locally) precompact Abelian groups (these are the locally essential subgroups $G$ of LCA gro…

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

The Structure of Sequentially Complete Locally Minimal Groups

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

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