Partitions of the plane into sets having positive measure in every non-null measurable product set
نویسندگان
چکیده
منابع مشابه
Partitions of the Plane into Sets Having Positive Measure in Every Non-null Measurable Product Set
1 . Introduction . The following question was posed by D . Maharam : Can one divide the unit square into two or more measurable sets each of which has a non-null intersection with every product set A XB of positive measure, where A and B are subsets of the unit interval? In this paper we construct a class of such partitions of the plane, including some that retain the property under various tra...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1955
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1955-0072928-3