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math.GR2025
A Hurewicz-type theorem for quasimorphisms of countable approximate groups
Vera Tonić
In their theorem from 2006, A. Dranishnikov and J. Smith prove that if is a group homomorphism, then the following formula for asymptotic dimension is true: $\operatorna…
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…