The interdependence of certain consequences of the axiom of choice
A. Lévy (1964)
Fundamenta Mathematicae
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A. Lévy (1964)
Fundamenta Mathematicae
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Mirko Sardella, Guido Ziliotti (2002)
Mathematica Bohemica
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In this note, we prove that the countable compactness of together with the Countable Axiom of Choice yields the existence of a nonmeasurable subset of . This is done by providing a family of nonmeasurable subsets of whose intersection with every non-negligible Lebesgue measurable set is still not Lebesgue measurable. We develop this note in three sections: the first presents the main result, the second recalls known results concerning non-Lebesgue measurability and its relations...
K. Wiśniewski (1972)
Fundamenta Mathematicae
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M. Jelić (1990)
Matematički Vesnik
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P. Andrews (1963)
Fundamenta Mathematicae
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Nancy Moler, Patrick Suppes (1968)
Compositio Mathematica
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L. Narens (1988)
Mathématiques et Sciences Humaines
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Perry Smith (1982)
Publications de l'Institut Mathématique
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