Connectedness of the theory of non-surjective injections
Stanisław Świerczkowski (1995)
Fundamenta Mathematicae
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Stanisław Świerczkowski (1995)
Fundamenta Mathematicae
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L. Lewis Jr. (1995)
Fundamenta Mathematicae
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Tadeusz Dobrowolski, Witold Marciszewski (1995)
Fundamenta Mathematicae
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G. Hjorth (2000)
Fundamenta Mathematicae
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Non-abelian Polish groups arising as countable products of countable groups can be tame in arbitrarily complicated ways. This contrasts with some results of Solecki who revealed a very different picture in the abelian case.
Claudia Spiro-Silverman (1995)
Acta Arithmetica
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Alan Dow (1997)
Fundamenta Mathematicae
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An Open Coloring Axiom type principle is formulated for uncountable cardinals and is shown to be a consequence of the Proper Forcing Axiom. Several applications are found. We also study dense C*-embedded subspaces of ω*, showing that there can be such sets of cardinality and that it is consistent that ω*{pis C*-embedded for some but not all p ∈ ω*.
Rüdiger Göbel, R. Shortt (1994)
Fundamenta Mathematicae
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Let G be an Abelian group and let μ: A → G and ν: B → G be finitely additive measures (charges) defined on fields A and B of subsets of a set X. It is assumed that μ and ν agree on A ∩ B, i.e. they are consistent. The existence of common extensions of μ and ν is investigated, and conditions on A and B facilitating such extensions are given.
Chaoping Xing, Harald Niederreiter (1995)
Acta Arithmetica
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N. Brunner, Paul Howard, Jean Rubin (1997)
Fundamenta Mathematicae
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Węglorz' models are models for set theory without the axiom of choice. Each one is determined by an atomic Boolean algebra. Here the algebraic properties of the Boolean algebra are compared to the set theoretic properties of the model.
Kenneth Kunen, Jan van Mill (1995)
Fundamenta Mathematicae
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We prove that the statement: "there is a Corson compact space with a non-separable Radon measure" is equivalent to a number of natural statements in set theory.