English

On absolutely divergent series

Logic 2007-05-23 v1

Abstract

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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Cite

@article{arxiv.math/9903114,
  title  = {On absolutely divergent series},
  author = {Sakae Fuchino and Heike Mildenberger and Saharon Shelah and Peter Vojtas},
  journal= {arXiv preprint arXiv:math/9903114},
  year   = {2007}
}