On absolutely divergent series

• Autorzy: Sakaé Fuchino , Heike Mildenberger , Saharon Shelah , Peter Vojtáš
• Języki publikacji: EN

Abstrakty

EN

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].

Kategorie tematyczne

• 03E05: Other combinatorial set theory
• 40G05: Ces\`aro, Euler, N\"orlund and Hausdorff methods
• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1999
• Tom: 160
• Numer: 3
• Strony: 255-268

Daty

wydano

1999

otrzymano

1998-09-03

poprawiono

1999-03-18

Twórcy

autor

Sakaé Fuchino

• Sakaé Fuchino, Department of Computer Sciences, Kitami Institute of Technology, Koen-cho 165, Kitami, Hokkaido 090 Japan

autor

Heike Mildenberger

• Mathematisches Institut, Universität Bonn, Beringstr. 1 53115 Bonn, Germany
• Mathematical Institute, The Hebrew University of Jerusalem, Givat Ram, 91904 Jerusalem, Israel

autor

Saharon Shelah

• Mathematical Institute, The Hebrew University of Jerusalem, Givat Ram, Jerusalem 91904, Israel

autor

Peter Vojtáš

• Mathematical Institute, Slovak Academy of Sciences, Jesenná 5, 04154 Košice, Slovak Republic

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