On absolutely divergent series
Fundamenta Mathematicae, Tome 160 (1999) no. 3, pp. 255-268
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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 $cf(\gc) = \gp$ the two algebras are isomorphic [15].
Affiliations des auteurs :
Sakaé Fuchino 1 ; Heike Mildenberger 1 ; Saharon Shelah 1 ; Peter Vojtáš 1
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author = {Saka\'e Fuchino and Heike Mildenberger and Saharon Shelah and Peter Vojt\'a\v{s}},
title = {On absolutely divergent series},
journal = {Fundamenta Mathematicae},
pages = {255--268},
publisher = {mathdoc},
volume = {160},
number = {3},
year = {1999},
doi = {10.4064/fm_1999_160_3_1_255_268},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm_1999_160_3_1_255_268/}
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Sakaé Fuchino; Heike Mildenberger; Saharon Shelah; Peter Vojtáš. On absolutely divergent series. Fundamenta Mathematicae, Tome 160 (1999) no. 3, pp. 255-268. doi: 10.4064/fm_1999_160_3_1_255_268
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