1 citations · 2 across the 6 of their papers we have counts for
7 papers
Polish G-spaces, the generalized model theory and complexity
A. Ivanov, B. Majcher-Iwanow
Given Polish space and continuous language we study the corresponding logic -space . We build a framework of generalized model theor…
Subgroups of and the relation of almost containedness
B. Majcher-Iwanow
The relations of almost containedness and orthogonality in the lattice of groups of finitary permutations are studied in the paper. We define six cardinal numbers naturally corresp…
Polish G-spaces and continuous logic
Aleksander Ivanov, Barbara Majcher-Iwanow
We analyse logic actions of Polish groups which arise in continuous logic. We extend the generalised model theory of H.Becker to the case of Polish G-spaces when G is an arbitrary…
Polish group actions and effectivity
Barbara Majcher-Iwanow
We extend the result of Nadel describing the relationship between approximations of canonical Scott sentences and admissible sets to the general case of orbit equivalence relations…
Local operations and eventually open actions
Barbara Majcher-Iwanow
We study continuous actions of Polish groups on Polish spaces. We develop Scott analysis introduced by Hjorth for studying orbit equivalence relations. We define eventually open ac…
Polish group actions and computability
Aleksander Ivanov, Barbara Majcher-Iwanow
Let G be a closed subgroup of the group of all permutations of a countably infinite set. Let X be a Polish G-space with a countable basis A of clopen sets. Each x from X defines a…