On dense subsets of Boolean algebras
Roman Sikorski (1963)
Colloquium Mathematicae
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Roman Sikorski (1963)
Colloquium Mathematicae
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H. Mildenberg (1993)
Fundamenta Mathematicae
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Using ♢ , we construct a rigid atomless Boolean algebra that has no uncountable antichain and that admits the elimination of the Malitz quantifier .
Paul R. Halmos (1954-1956)
Compositio Mathematica
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Abad Manuel, Cimadamore Cecilia, Díaz Varela José (2009)
Open Mathematics
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In this paper, every monadic implication algebra is represented as a union of a unique family of monadic filters of a suitable monadic Boolean algebra. Inspired by this representation, we introduce the notion of a monadic implication space, we give a topological representation for monadic implication algebras and we prove a dual equivalence between the category of monadic implication algebras and the category of monadic implication spaces.
Leon Henkin (1955)
Fundamenta Mathematicae
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T. Traczyk (1964)
Colloquium Mathematicae
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Roman Sikorski (1961)
Colloquium Mathematicum
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