6533b851fe1ef96bd12a8d58

RESEARCH PRODUCT

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

Barbara Majcher-iwanow

subject

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)Mathematics

description

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.

yearjournalcountryeditionlanguage
2016-09-06Archive for Mathematical Logic
https://doi.org/10.1007/s00153-016-0503-x