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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Some undecidability results concerning Radon measures


Authors: R. J. Gardner and W. F. Pfeffer
Journal: Trans. Amer. Math. Soc. 259 (1980), 65-74
MSC: Primary 54D20; Secondary 28A35, 54G20
MathSciNet review: 561823
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Abstract: We show that in metalindelöf spaces certain questions about Radon measures cannot be decided within the Zermelo-Fraenkel set theory, including the axiom of choice.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1980-0561823-3
PII: S 0002-9947(1980)0561823-3
Keywords: Borel measure, regular measure, Radon space, metalindelöf space, continuum hypothesis, Martin's axiom, $ \clubsuit$
Article copyright: © Copyright 1980 American Mathematical Society