3 citations · 3 across the 5 of their papers we have counts for
10 papers
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…
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…
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…
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…
Foundations of geometric approximate group theory
Matthew Cordes, Tobias Hartnick, Vera Tonić
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 notio…
Alternate proofs for the -dimensional resolution theorems
Leonard R. Rubin, Vera Tonić
We present new, unified proofs for the cell-like, -, and -resolution theorems. Our arguments employ extensions that are much simpler then those used by ou…
Simplicial inverse sequences in extension theory
Leonard R. Rubin, Vera Tonić
In extension theory, in particular in dimension theory, it is frequently useful to represent a given compact metrizable space X as the limit of an inverse sequence of compact polyh…
A proof of The Edwards-Walsh Resolution Theorem without Edwards-Walsh CW-complexes
Vera Tonić
In the paper titled "Bockstein basis and resolution theorems in extension theory" (arXiv:0907.0491v2), we stated a theorem that we claimed to be a generalization of the Edwards-Wal…
Simultaneous Z/p-acyclic resolutions of expanding sequences
Leonard R. Rubin, Vera Tonić
We prove the following Theorem: Let X be a nonempty compact metrizable space, let be a sequence of natural numbers, and let be a…
Bockstein basis and resolution theorems in extension theory
Vera Tonić
We prove a generalization of the Edwards-Walsh Resolution Theorem: Theorem: Let G be an abelian group for which equals the set of all primes , where $P_G=\{p \in…