Non-meagre subgroups of reals disjoint with meagre sets
نویسندگان
چکیده
منابع مشابه
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We prove that every analytic proper subgroup of the reals can be covered by an Fσ null set. We also construct a proper Borel subgroup G of the reals that cannot be covered by countably many sets Ai such that Ai +Ai is nowhere dense for every i. Let G be an (additive) proper subgroup of the reals. It is well-known that if G is measurable then G is null, and if G has the Baire property then G is ...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2018
ISSN: 0166-8641
DOI: 10.1016/j.topol.2018.03.019