7 citations · 19 across the 22 of their papers we have counts for
7 papers · 1 filter
Mixed identities, hereditarily separated actions and oscillation
Aleksander Ivanov, Roland Zarzycki
Given a topological -space we consider equations with parameters over . In particular we formulate some very general conditions on words with parameters …
Notes about decidability of exponential equations
Oleg Bogopolski, Aleksander Ivanov
We study relationship among versions of the Knapsack Problem where variables take values in Z and the number of them is fixed. In particular, we construct a finitely presented grou…
Amenability and computability
Karol Duda
In this paper we extend the approach of M. Cavaleri to effective amenability to the class of computably enumerable groups, i.e. in particular we do not assume that groups are finit…
Sofic metric groups and continuous logic
A. Ivanov
We define sofic, weakly sofic, linear sofic and hyperlinear metric groups and discuss some issues involving axiomatizability of these classes in continuous logic.
Metric ultraproducts of finite groups with respect to some length functions
A. Ivanov
We consider metric ultraproducts of finite groups with respect to some classes of length functions. All sofic groups embed into these ultraproducts. We study embeddings of normed g…
Non-nesting actions of groups on real trees vs isometric actions
A. Ivanov
We study non-nesting actions on R-trees. We prove that some natural conditions describing how the group is generated, imply that such an action involves an isometric action on an R…