S. Gabriyelyan

activity

20082026

C_{k}

-stable closure of the class of (separable) metrizable spaces

31 citations · 92 across the 50 of their papers we have counts for

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8 papers · 1 filter

math.GR2022

Compatible group topologies on a locally quasi-convex abelian group and the Mackey group problem

Saak Gabriyelyan

For a locally quasi-convex (lqc) abelian group $G$ , we give the first description of all compatible group topologies on $G$ and apply this result to the Mackey group problem for lq…

math.GR2015

On $T$ -characterized subgroups of compact Abelian groups

S. Gabriyelyan

We say that a subgroup $H$ of an infinite compact Abelian group $X$ is {\it $T$ -characterized} if there is a $T$ -sequence $u = {u_{n}}$ in the dual group of $X$ such that…

math.GR2013★ 3 cited

On topological properties of the group of the null sequences valued in an Abelian topological group

S. S. Gabriyelyan

Following [23], denote by $F_{0}$ the functor on the category $TAG$ of all Hausdorff Abelian topological groups and continuous homomorphisms which passes each $X\…

math.GR2012★ 1 cited

Characterizing sequences for precompact group topologies

D. Dikranjan, S. S. Gabriyelyan, V. Tarieladze

A precompact group topology $τ$ on an abelian group $G$ is called {\em single sequence characterized} (for short, {\em ss-characterized}) if there is a sequence $u = (u_{n})$ …

math.GR2011★ 1 cited

Pontryagin duality for Abelian $s$ - and $s b$ -groups

S. S. Gabriyelyan

The main goal of the article is to study the Pontryagin duality for Abelian $s$ - and $s b$ -groups. Let $G$ be an infinite Abelian group and $X$ be the dual group of the discrete gro…

math.GR2011

Topologies on groups determined by sets of convergent sequences

S. S. Gabriyelyan

A Hausdorff topological group $(G, τ)$ is called an $s$ -group and $τ$ is called an $s$ -topology if there is a set $S$ of sequences in $G$ such that $τ$ is the finest Hausdorff group…

Compatible group topologies on a locally quasi-convex abelian group and the Mackey group problem

On T-characterized subgroups of compact Abelian groups

On topological properties of the group of the null sequences valued in an Abelian topological group

Characterizing sequences for precompact group topologies

Pontryagin duality for Abelian s- and sb-groups

Topologies on groups determined by sets of convergent sequences

On $T$ -characterized subgroups of compact Abelian groups

Pontryagin duality for Abelian $s$ - and $s b$ -groups