4 papers
A Hurewicz-type theorem for quasimorphisms of countable approximate groups
Vera ToniÄ
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…
A Hurewicz-type formula for asymptotic-dimension-lowering symmetric quasimorphisms of countable approximate groups
Vera ToniÄ
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…
Hurewicz and Dranishnikov-Smith theorems for asymptotic dimension of countable approximate groups
Tobias Hartnick, Vera ToniÄ
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…
Foundations of geometric approximate group theory
Matthew Cordes, Tobias Hartnick, Vera ToniÄ
We develop the foundations of a geometric theory of countably-infinite approximate groups, extending work of Björklund and the second-named author. Our theory is based on the noti…