Cardinal invariants of ultraproducts of Boolean algebras

• Autorzy: Andrzej Rosłanowski , Saharon Shelah
• Języki publikacji: EN

Abstrakty

EN

We deal with some problems posed by Monk [Mo 1], [Mo 3] and related to cardinal invariants of ultraproducts of Boolean algebras. We also introduce and investigate several new cardinal invariants.

Kategorie tematyczne

• 06E15: Stone spaces (Boolean spaces) and related structures
• 03E05: Other combinatorial set theory
• 03E35: Consistency and independence results
• 03G05: Boolean algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1998
• Tom: 155
• Numer: 2
• Strony: 101-151

Daty

wydano

1998

otrzymano

1994-12-27

poprawiono

1996-12-06

poprawiono

1997-04-07

Twórcy

autor

Andrzej Rosłanowski

• Mathematical Institute, Wrocław University, 50-384 Wrocław, Poland,
• Institute of Mathematics, Hebrew University of Jerusalem, 91904 Jerusalem, Israel

autor

Saharon Shelah

• Institute of Mathematics, Hebrew University of Jerusalem, 91904 Jerusalem, Israel,

Bibliografia

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• [Mo 1] D. Monk, Cardinal Invariants of Boolean Algebras, Lectures in Mathematics, ETH Zürich, Birkhäuser, Basel, 1990.
• [Mo 2] D. Monk, Cardinal Invariants of Boolean Algebras, Progr. Math. 142, Birkhäuser, Basel, 1996.
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• [Sh 371] S. Shelah, Advanced: cofinalities of reduced products, ibid., Chapter VIII.
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• [Sh 460] S. Shelah, The Generalized Continuum Hypothesis revisited, ibid., submitted.
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• [Sh 479] S. Shelah, On Monk's questions, ibid. 151 (1996), 1-19.
• [Sh 503] S. Shelah, The number of independent elements in the product of interval Boolean algebras, Math. Japon. 39 (1994), 1-5.
• [Sh 620] S. Shelah, Special subsets of $^{cf(μ)} μ$, Boolean algebras and Maharam measure algebras, preprint.