A problem of Halmos on projective Boolean algebras
S. Görnemann (1972)
Colloquium Mathematicae
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S. Görnemann (1972)
Colloquium Mathematicae
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Philip Olin (1976)
Mathematica Scandinavica
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WILLIAM HANF (1957)
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Victor Klee (1958)
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J.R. Isbell (1968)
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Frank Harary, Gordon W. Wilcox (1967)
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Ploščica, M. (1994)
Acta Mathematica Universitatis Comenianae. New Series
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Terry A. Loring (1993)
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R.S. Pierce, D.J. Christensen (1959)
Mathematica Scandinavica
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Shiing-Shen Chern (1975)
Mathematica Scandinavica
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Sakaé Fuchino, Assaf Rinot (2011)
Fundamenta Mathematicae
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We prove that the Fodor-type Reflection Principle (FRP) is equivalent to the assertion that any Boolean algebra is openly generated if and only if it is ℵ₂-projective. Previously it was known that this characterization of openly generated Boolean algebras follows from Axiom R. Since FRP is preserved by c.c.c. generic extension, we conclude in particular that this characterization is consistent with any set-theoretic assertion forcable by a c.c.c. poset starting from a model of FRP. A...
S. Koppelberg (1973)
Mathematische Annalen
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Torleiv Klove (1973)
Mathematica Scandinavica
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Aleksander Błaszczyk, Andrzej Kucharski, Sławomir Turek (2014)
Open Mathematics
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The aim of this paper is to show that every infinite Boolean algebra which admits a countable minimally acting group contains a dense projective subalgebra.