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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A decomposition theorem


Author: Wolfgang Sander
Journal: Proc. Amer. Math. Soc. 83 (1981), 553-554
MSC: Primary 28C10; Secondary 54E52
MathSciNet review: 627689
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Abstract: We prove a generalization of the following well-known theorem: " $ {\mathbf{R}}$ is the disjoint union of a set of first category and a set of Lebesgue measure zero."


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1981-0627689-4
Keywords: Sets of first category, sets of Lebesgue measure zero, Baire category from an abstract viewpoint
Article copyright: © Copyright 1981 American Mathematical Society