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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Showing 2017 · math.GNShow all

3 papers · 2 filters

math.GN2017

Maximally almost periodic groups and respecting properties

Saak Gabriyelyan

For a Tychonoff space $X$ , denote by $P$ the family of topological properties $P$ of being a convergent sequence or being a compact, sequentially compact, coun…

math.GN2017★ 1 cited

The free locally convex space $L (s)$ over a convergent sequence $s$ is not a Mackey space

Saak Gabriyelyan

We show that the free locally convex space $L (s)$ over a convergent sequence $s$ is not a Mackey space. Consequently $L (s)$ is not a Mackey group that an…

math.GN2017★ 1 cited

A locally quasi-convex abelian group without Mackey topology

Saak Gabriyelyan

We give the first example of a locally quasi-convex (even countable reflexive and $k_{ω}$ ) abelian group $G$ which does not admit the strongest compatible locally quasi-convex group…

Maximally almost periodic groups and respecting properties

The free locally convex space L(s) over a convergent sequence s is not a Mackey space

A locally quasi-convex abelian group without Mackey topology

The free locally convex space $L (s)$ over a convergent sequence $s$ is not a Mackey space