Strolling through paradise
Jörg Brendle (1995)
Fundamenta Mathematicae
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Jörg Brendle (1995)
Fundamenta Mathematicae
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Stanisław Świerczkowski (1995)
Fundamenta Mathematicae
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Claudia Spiro-Silverman (1995)
Acta Arithmetica
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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.
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*.
Jan van Mill, Jan Pelant, Roman Pol (1996)
Fundamenta Mathematicae
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We show that the assertions of some fundamental selection theorems for lower-semicontinuous maps with completely metrizable range and metrizable domain actually characterize topological completeness of the target space. We also show that certain natural restrictions on the class of the domains change this situation. The results provide in particular answers to questions asked by Engelking, Heath and Michael [3] and Gutev, Nedev, Pelant and Valov [5].
Teresa Bigorajska, Henryk Kotlarski, James Schmerl (1998)
Fundamenta Mathematicae
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We continue the earlier research of [1]. In particular, we work out a class of regular interstices and show that selective types are realized in regular interstices. We also show that, contrary to the situation above definable elements, the stabilizer of an element inside M(0) whose type is selective need not be maximal.
Lou van den Dries (1998)
Fundamenta Mathematicae
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The structure of definable sets and maps in dense elementary pairs of o-minimal expansions of ordered abelian groups is described. It turns out that a certain notion of "small definable set" plays a special role in this description.
E. Bombieri, S. Sperber (1995)
Acta Arithmetica
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