Analytic subgroups of the reals
Proc. Amer. Math. Soc. 126 (1998), 1783-1790
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Abstract: We prove that every analytic proper subgroup of the reals can be covered by an null set. We also construct a proper Borel subgroup of the reals that cannot be covered by countably many sets such that is nowhere dense for every
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Department of Analysis, Eötvös Loránd University, Budapest, Muzeum krt. 6-8, Hungary 1088
Received by editor(s):
February 20, 1996
Received by editor(s) in revised form:
November 21, 1996
This work was completed when the author had a visiting position at the Mathematical Institute of the Hungarian Academy of Sciences. Also supported by the Hungarian National Foundation for Scientific Research, Grant T016094.
Andreas R. Blass
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