17 citations · 39 across the 19 of their papers we have counts for
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Products of topological groups in which all closed subgroups are separable
Arkady G. Leiderman, Mikhail G. Tkachenko
We prove that if is a topological group such that all closed subgroups of are separable, then the product has the same property for every separable compact grou…
-Dominated function spaces and -bases in free objects of Topological Algebra
Taras Banakh, Arkady Leiderman
A topological space is defined to have an -base if at each point the space has a neighborhood base such that for a…
The strong Pytkeev property of topological spaces
Taras Banakh
Modifying the known definition of a Pytkeev network, we introduce a notion of Pytkeev network and prove that a topological space has a countable Pytkeev network if and only if…
-bases in free (locally convex) topological vector spaces
Taras Banakh, Arkady Leiderman
We characterize topological (and uniform) spaces whose free (locally convex) topological vector spaces have a local -base. A topological space has a local $\mathfr…
Lattices of homomorphisms and pro-Lie groups
Arkady G. Leiderman, Mikhail G. Tkachenko
Early this century K. H. Hofmann and S. A. Morris introduced the class of pro-Lie groups which consists of projective limits of finite-dimensional Lie groups and proved that it con…
Linear continuous surjections of -spaces over compacta
Kazuhiro Kawamura, Arkady Leiderman
Let and be compact Hausdorff spaces and suppose that there exists a linear continuous surjection , where denotes the space of all real-v…