On absolutely divergent series
Volume 160 / 1999
Fundamenta Mathematicae 160 (1999), 255-268
DOI: 10.4064/fm_1999_160_3_1_255_268
Abstract
We show that in the $ℵ_2$-stage countable support iteration of Mathias forcing over a model of CH the complete Boolean algebra generated by absolutely divergent series under eventual dominance is not isomorphic to the completion of P(ω)/fin. This complements Vojtáš' result that under $cf(\gc) = \gp$ the two algebras are isomorphic [15].
