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On matrix rapid filters

100%

Just W., Vojtáš P.

Fundamenta Mathematicae

1997

tom 154

nr 2

177-182

Galois-Tukey equivalence between matrix summability and absolute convergence of series is shown and an alternative characterization of rapid ultrafilters on ω is derived.

On absolutely divergent series

81%

Fuchino S., Mildenberger H., Shelah S., Vojtáš P.

Fundamenta Mathematicae

1999

tom 160

nr 3

255-268

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].

Ograniczanie wyników

2 Fundamenta Mathematicae

2 Vojtáš P.

1 Fuchino S.

1 Just W.

1 Mildenberger H.

1 Shelah S.

1 1999

1 1997

Wyniki wyszukiwania

On matrix rapid filters

On absolutely divergent series