16 citations · 84 across the 49 of their papers we have counts for
6 papers · 2 filters
On a question of Clark and Ledet
Igor Protasov
Given a -sequence on a countable abelian group , we prove that there exists Hausdorff group topologies in which this sequence converges to . This answers a q…
On asymorphisms of finitary coarse spaces
I. V. Protasov
We characterize finitary coarse spaces such that every permutation of is an asymorphism.
Linearly ordered coarse spaces
Igor Protasov
A coarse space , endowed with a linear order compatible with the coarse structure of , is called linearly ordered. We prove that every linearly ordered coarse space is lo…
Coarse selectors of graphs
Igor Protasov
We consider a connected graph as a coarse space and prove that admits a 2-selector if and only if is either bounded or coarsely equivalent to or $\mathbb{Z…
Selectors and orderings of coarse spaces
Igor Protasov
Given a coarse space , we consider linear orders on compatible with the coarse structure and explore interplays between these orders and macro-un…
Selectors of discrete coarse spaces
Igor Protasov
Given a coarse space with the bornology of bounded subsets, we extend the coarse structure from to the natural coarse struc…