# On absolutely divergent series

Sakaé Fuchino; Heike Mildenberger; Saharon Shelah; Peter Vojtáš

Fundamenta Mathematicae (1999)

- Volume: 160, Issue: 3, page 255-268
- ISSN: 0016-2736

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topFuchino, Sakaé, et al. "On absolutely divergent series." Fundamenta Mathematicae 160.3 (1999): 255-268. <http://eudml.org/doc/212392>.

@article{Fuchino1999,

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() = $ the two algebras are isomorphic [15].},

author = {Fuchino, Sakaé, Mildenberger, Heike, Shelah, Saharon, Vojtáš, Peter},

journal = {Fundamenta Mathematicae},

keywords = {-distributive Boolean algebra; Mathias forcing; absolutely divergent series; factor algebra of the power set algebra},

language = {eng},

number = {3},

pages = {255-268},

title = {On absolutely divergent series},

url = {http://eudml.org/doc/212392},

volume = {160},

year = {1999},

}

TY - JOUR

AU - Fuchino, Sakaé

AU - Mildenberger, Heike

AU - Shelah, Saharon

AU - Vojtáš, Peter

TI - On absolutely divergent series

JO - Fundamenta Mathematicae

PY - 1999

VL - 160

IS - 3

SP - 255

EP - 268

AB - 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() = $ the two algebras are isomorphic [15].

LA - eng

KW - -distributive Boolean algebra; Mathias forcing; absolutely divergent series; factor algebra of the power set algebra

UR - http://eudml.org/doc/212392

ER -

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