16 citations · 84 across the 49 of their papers we have counts for
5 papers · 2 filters
The normality of macrocubes and hyperballeans
Igor Protasov, Ksenia Protasova
For a bornology on a cardinal , we prove that the -macrocube is normal if and only if has a linearly ordered base. As a corollary, we get t…
Coarse spaces, ultrafilters and dynamical systems
Igor Protasov
For a coarse space , denotes the set of all unbounded ultrafilters on endowed with the parallelity relation: if there exists $E \in \mathcal…
Set-Theoretical Problems in Asymptology
Taras Banakh, Igor Protasov
In this paper we collect some open set-theoretic problems that appear in the large-scale topology (called also Asymptology). In particular we ask problems about critical cardinalit…
Constructing a coarse space with a given Higson or binary corona
Taras Banakh, Igor Protasov
For any compact Hausdorff space we construct a canonical finitary coarse structure on the set of isolated points of . This construction has two proper…
On a question of Dikranjan and Zava
Igor Protasov
Let be a non-discrete countable metrizable abelian topological group endowed with the coarse structure generated by compact subsets of . We prove that $asdim…