112 citations · 246 across the 23 of their papers we have counts for
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Coarse classification of abelian groups and amenable shift-homogeneous metric spaces
Taras Banakh, Matija Cencelj, Dušan Repovš +1
In this paper we classify countable locally finite-by-abelian groups up to coarse isomorphism. This classification is derived from a coarse classification of amenable shift-homogen…
Asymptotic dimension, Property A, and Lipschitz maps
M. Cencelj, J. Dydak, A. Vavpetic
It is well-known that a paracompact space X is of covering dimension n if and only if any map f from X to a simplicial complex K can be pushed into its n-skeleton. We use the same…
A combinatorial approach to coarse geometry
M. Cencelj, J. Dydak, A. Vavpeti\v\{c} +1
Using ideas from shape theory we embed the coarse category of metric spaces into the category of direct sequences of simplicial complexes with bonding maps being simplicial. Two di…
A short proof of the Twelve points theorem
Matija Cencelj, Dušan Repovš, Mikhail Skopenkov
We present a short elementary proof of the following Twelve Points Theorem: Let M be a convex polygon with vertices at the lattice points, containing a single lattice point in its…