0000000000722608

AUTHOR

Barbara Majcher-iwanow

showing 2 related works from this author

Polish G-spaces and continuous logic

2017

Abstract We extend the generalised model theory of H. Becker from [2] to the case of Polish G -spaces when G is an arbitrary Polish group. Our approach is inspired by logic actions of Polish groups which arise in continuous logic.

AlgebraModel theoryContinuous logic010201 computation theory & mathematicsLogicGroup (mathematics)010102 general mathematicsPolish G-spaces0102 computer and information sciences0101 mathematics01 natural sciencesMathematicsAnnals of Pure and Applied Logic
researchProduct

Subgroups of $$SF(\omega )$$ S F ( ω ) and the relation of almost containedness

2016

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 corresponding to these relations by the standard scheme of $$P(\omega )$$P(ź). We obtain some consistency results concerning these numbers and some versions of the Ramsey theorem.

Discrete mathematicsLogic010102 general mathematics0102 computer and information sciencesLattice (discrete subgroup)01 natural sciencesOmegaCombinatoricsMathematics::LogicPhilosophyOrthogonality010201 computation theory & mathematicsConsistency (statistics)Scheme (mathematics)FinitaryRamsey's theorem0101 mathematicsRelation (history of concept)MathematicsArchive for Mathematical Logic
researchProduct