We show that in the -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 the two algebras are isomorphic [15].
@article{bwmeta1.element.bwnjournal-article-fmv160i3p255bwm,
author = {Saka\'e Fuchino and Heike Mildenberger and Saharon Shelah and Peter Vojt\'a\v s},
title = {On absolutely divergent series},
journal = {Fundamenta Mathematicae},
volume = {159},
year = {1999},
pages = {255-268},
zbl = {0933.03065},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv160i3p255bwm}
}
Fuchino, Sakaé; Mildenberger, Heike; Shelah, Saharon; Vojtáš, Peter. On absolutely divergent series. Fundamenta Mathematicae, Tome 159 (1999) pp. 255-268. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv160i3p255bwm/
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