31 citations · 92 across the 50 of their papers we have counts for
6 papers · 1 filter
The -stable closure of the class of separable metrizable spaces
T. Banakh, S. Gabriyelyan
Denote by the -stable closure of the class of all separable metrizable spaces, i.e., is the smallest…
Networks for the weak topology of Banach and Fréchet spaces
S. Gabriyelyan, J. Kcakol, W. Kubiś +1
We start the systematic study of Fréchet spaces which are -spaces in the weak topology. A topological space is an -space or an -space if has a cou…
On topological spaces and topological groups with certain local countable networks
S. S. Gabriyelyan, J. Kakol
Being motivated by the study of the space of all continuous real-valued functions on a Tychonoff space with the compact-open topology, we introduced in [15] the concep…
On -spaces and related concepts
S. S. Gabriyelyan, J. Kakol
The concept of the strong Pytkeev property, recently introduced by Tsaban and Zdomskyy in [32], was successfully applied to the study of the space of all continuous real-v…
On the -stable closure of the class of (separable) metrizable spaces
Taras Banakh, Saak Gabriyelyan
Denote by the -stable closure of the class of all metrizable spaces, i.e., is the smallest class of topolog…
A characterization of free locally convex spaces over metrizable spaces which have countable tightness
S. S. Gabriyelyan
We prove that the free locally convex space over a metrizable space has countable tightness if and only if is separable.