33 citations · 687 across the 231 of their papers we have counts for
18 papers · 1 filter
The normality and bounded growth of balleans
Taras Banakh, Igor Protasov
By a ballean we understand a set endowed with a family of entourages which is a base of some coarse structure on . Given two unbounded ballean with normal product $X\t…
Functional boundedness of balleans
Taras Banakh, Igor Protasov
We pose some open problems related to boundedness of real-valued functions on balleans and coarse spaces. Also we prove that the Bergman property of groups is a coarse invariant. A…
The continuity of Darboux injections between manifolds
Iryna Banakh, Taras Banakh
We prove that an injective map between connected metrizable spaces is continuous if for every connected subset the image is connected and one o…
Minimal covers of hypergraphs
Taras Banakh, Dominic van der Zypen
For a hypergraph , a subfamily is called a cover of the hypergraph if . A cover …
A parallel metrization theorem
Taras Banakh, Olena Hryniv
Two non-empty sets of a metric space are called parallel if for any points and . Answering a question posed on Mathoverflow, w…
Haar-open sets: a right way of generalizing the Steinhaus sum theorem to non-locally compact groups
Taras Banakh
Let be the countable product of Abelian locally compact Polish groups and be two Borel sets, which are not Haar-null in . We prove that the sum-set $A+B:=\{a+…