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arxiv: math/9903114 · v1 · submitted 1999-03-18 · 🧮 math.LO

On absolutely divergent series

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keywords absolutelydivergentisomorphicseriesunderalephalgebraalgebras
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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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