On absolutely divergent series

Mathematics – Logic

Scientific paper

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Scientific paper

We show that in the aleph_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(omega)/fin. This complements Vojtas' result, that under cf(c)=p the two
algebras are isomorphic

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