3 papers
math.GN2019
Categories of coarse groups: quasi-homomorphisms and functorial coarse structures
Dikran Dikranjan, Nicolò Zava
Coarse geometry is the study of large-scale properties of spaces. In this paper we study group coarse structures (i.e., coarse structures on groups that agree with the algebraic st…
math.GN2019
Hyperballeans of groups
D. Dikranjan, I. Protasov, N. Zava
In this paper we define some ballean structure on the power set of a group and, in particular, we study the subballean with support the lattice of all its subgroups. If is a gr…
math.GN2018
Generalisations of coarse spaces
Nicolò Zava
Coarse geometry, the branch of topology that studies the global properties of spaces, was originally developed for metric spaces and then Roe introduced coarse structures as a larg…