Counterexamples in minimally generated Boolean algebras
Sabine Koppelberg (1988)
Acta Universitatis Carolinae. Mathematica et Physica
Similarity:
Displaying similar documents to “On hereditary interval algebras.”
Counterexamples in minimally generated Boolean algebras
Boolean algebras with ordered bases
B. Rotman (1972)
Fundamenta Mathematicae
Similarity:
Boolean algebras in which every chain and antichain is countable
James Baumgartner, Péter Komjáth (1981)
Fundamenta Mathematicae
Similarity:
Αll -dense sets of reals can be isomorphic
James Baumgartner (1973)
Fundamenta Mathematicae
Similarity:
On the Boolean structure generated by -points of
Stanislav Krajči, Peter Vojtáš (1995)
Acta Universitatis Carolinae. Mathematica et Physica
Similarity:
Strongly retractive Boolean algebras
Lutz Heindorf (1986)
Fundamenta Mathematicae
Similarity:
The number of countable isomorphism types of complete extensions of the theory of Boolean algebras
Paul Iverson (1991)
Colloquium Mathematicae
Similarity:
There is a conjecture of Vaught [17] which states: Without The Generalized Continuum Hypothesis one can prove the existence of a complete theory with exactly nonisomorphic, denumerable models. In this paper we show that there is no such theory in the class of complete extensions of the theory of Boolean algebras. More precisely, any complete extension of the theory of Boolean algebras has either 1 or nonisomorphic, countable models. Thus we answer this conjecture in the negative...