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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P.V. Jagannadham (1967)
Mathematische Annalen
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J.Donald Monk (1975)
Mathematische Annalen
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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...
Ploščica, M. (1994)
Acta Mathematica Universitatis Comenianae. New Series
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Brian Wynne (2008)
Fundamenta Mathematicae
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Two Boolean algebras are elementarily equivalent if and only if they satisfy the same first-order statements in the language of Boolean algebras. We prove that every Boolean algebra is elementarily equivalent to the algebra of clopen subsets of a normal P-space.
Robert Lagrange (1974)
Colloquium Mathematicae
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Francisco J. Freniche (1984)
Mathematische Annalen
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J.D. Maitland Wright (1969)
Mathematische Zeitschrift
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Mehmet Orhon (1983)
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Sabine Koppelberg (1978)
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Peter G. Dodds, Ben de Pagter (1984)
Mathematische Zeitschrift
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Janusz Czelakowski (1981)
Colloquium Mathematicae
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