On non-measurable sets of points, with an example
نویسندگان
چکیده
منابع مشابه
Measure zero sets with non - measurable sum
For any C ⊆ R there is a subset A ⊆ C such that A + A has inner measure zero and outer measure the same as C + C. Also, there is a subset A of the Cantor middle third set such that A+A is Bernstein in [0, 2]. On the other hand there is a perfect set C such that C + C is an interval I and there is no subset A ⊆ C with A + A Bernstein in I.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1908
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1908-1500812-5