On Measure of Sum Sets III
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: Proceedings of the Edinburgh Mathematical Society
سال: 1964
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500025918