3 papers
math.GR2024
A Hurewicz-type formula for asymptotic-dimension-lowering symmetric quasimorphisms of countable approximate groups
Vera Tonić
A well-known Hurewicz-type formula for asymptotic-dimension-lowering group homomorphisms, due to A. Dranishnikov and J. Smith, states that if is a group homomorphism, th…
math.GR2024
Hurewicz and Dranishnikov-Smith theorems for asymptotic dimension of countable approximate groups
Tobias Hartnick, Vera Tonić
We establish two main results for the asymptotic dimension of countable approximate groups. The first one is a Hurewicz type formula for a global morphism of countable approximate…
math.MG2022
The (largest) Lebesgue number and its relative version
Vera Tonić
In this paper we compare different definitions of the (largest) Lebesgue number of a cover for a metric space . We also introduce the relative version for the Lebe…