33 citations · 687 across the 231 of their papers we have counts for
8 papers · 2 filters
The continuity properties of compact-preserving functions
Taras Banakh, Artur Bartoszewicz, Marek Bienias +1
A function between topological spaces is called {\em compact-preserving} if the image of each compact subset is compact. We prove that a function $f:…
On -convex sets in spaces of scatteredly continuous functions
Taras Banakh, Bogdan Bokalo, Nadiya Kolos
Given a topological space , we study the structure of -convex subsets in the space of scatteredly continuous functions on . Our main result says that for a…
Topological and ditopological unosemigroups
Taras Banakh, Iryna Pastukhova
In this paper we introduce and study a new topologo-algebraic structure called a (di)topological unosemigroup. This is a topological semigroup endowed with continuous unary operati…
Topology of probability measure spaces, II
Taras Banakh
This paper is a follow-up to the author's work "Topology of probability measure space, I" devoted to investigation of the functors and of spaces of probability -s…
On character of points in the Higson corona of a metric space
Taras Banakh, Ostap Chervak, Lubomyr Zdomskyy
We prove that for an unbounded metric space , the minimal character of a point of the Higson corona of is equal to if has asympto…
On σ-convex subsets in spaces of scatteredly continuous functions
Taras Banakh, Bogdan Bokalo, Nadiya Kolos
We prove that for any topological space of countable tightness, each σ-convex subspace $\F$ of the space of scatteredly continuous real-valued functions on has ne…