33 citations · 687 across the 231 of their papers we have counts for
6 papers · 2 filters
-spaces
Taras Banakh
A regular topological space is defined to be a -space if it has countable Pytkeev network. A network for is called a Pytkeev network if for any…
On linear topological spaces (linearly) homeomorphic to
Taras Banakh
We prove that every infinite-dimensional (locally convex) linear topological space that can be expressed as a direct limit of finite-dimensional metrizable compacta is (linearly) h…
Micro and Macro Fractals generated by multi-valued dynamical systems
Taras Banakh, Natalia Novosad
Given a multi-valued function on a topological space we study the properties of its fixed fractal, which is defined as the closure of the orbit $Φ^ω(Fix(Φ))=\bigcup_{n\inω}…
Non-meager free sets for meager relations on Polish spaces
Taras Banakh, Lyubomyr Zdomskyy
We prove that for each meager relation on a Polish space there is a nowhere meager subspace which is -free in the sense that $(x,y)\notin E…
On topological Clifford semigroups embeddable into products of cones over topological groups
Taras Banakh, Iryna Pastukhova
In this paper we detect topological Clifford semigroups which are embeddable into Tychonoff products of topological semilattices and cones over topological groups. Also we detect t…
Hereditarily supercompact spaces
Taras Banakh, Zdzislaw Kosztolowicz, Slawomir Turek
A topological space is called hereditarily supercompact if each closed subspace of X is supercompact. By a combined result of Bula, Nikiel, Tuncali, Tymchatyn, and Rudin, each…