33 citations · 687 across the 231 of their papers we have counts for
10 papers · 2 filters
Perfectly supportable semigroups are σ-discrete in each Hausdorff shift-invariant topology
Taras Banakh, Igor Guran
In this paper we introduce perfectly supportable semigroups and prove that they are σ-discrete in each Hausdorff shift-invariant topology. The class of perfectly supportable semigr…
The topology of spaces of probability measures, I
Taras Banakh
For a Tychonoff space , the constructions and of the spaces of probability Radon measures and probability -smooth measures on are considered. It is p…
Topologization of sets endowed with an action of a monoid
Taras Banakh, Igor Protasov, Olga Sipacheva
Given a set and a family of self-maps of , we study the problem of the existence of a non-discrete Hausdorff topology on with respect to which all functions …
A spectral characterization of skeletal maps
Taras Banakh, Andrzej Kucharski, Marta Martynenko
We prove that a map between two realcompact spaces is skeletal if and only if it is homeomorphic to the limit map of a skeletal morphism between w-spectra with surjective limit pro…
Dimension of graphoids of rational vector-functions
Taras Banakh, Oles Potyatynyk
Let be a countable family of rational functions of two variables with real coefficients. Each rational function can be thought as a continuous function $f:dom(f)\to\ba…
On functors preserving skeletal maps and skeletally generated compacta
Taras Banakh, Andrzej Kucharski, Marta Martynenko
A map between topological spaces is skeletal if the preimage of each nowhere dense subset is nowhere dense in . We prove that a normal functo…