33 citations · 687 across the 231 of their papers we have counts for
17 papers · 1 filter
Recognizing the topology of the space of closed convex subsets of a Banach space
Taras Banakh, Ivan Hetman, Katsuro Sakai
Let be a Banach space and be the space of non-empty closed convex subsets of , endowed with the Hausdorff metric . We prove that each connected component of…
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 "hidden" characterization of approximatively polyhedral convex sets in Banach spaces
Taras Banakh, Ivan Hetman
For a Banach space by we denote the space of non-empty closed convex subsets of , endowed with the Hausdorff metric. We prove that for any closed convex set $C\s…
Symmetry and colorings: some results and open problems, II
Taras Banakh
We survey some principal results and open problems related to colorings of geometric and algebraic objects endowed with symmetries, concentrating the exposition on the maximal symm…