Irrational rotations motivate measurable sets
نویسندگان
چکیده
منابع مشابه
Irrational rotations motivate measurable sets
In 1914 Constantin Carathéodory gave his definition of a measurable set, a definition that is crucial in the general theory of integration. This is because a “primitive” notion of area or measure, on a smaller family of sets, can be extended to the larger family of measurable sets, and it is this larger family that has the necessary properties for a natural and complete theory of integration. T...
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ژورنال
عنوان ژورنال: Elemente der Mathematik
سال: 2001
ISSN: 0013-6018
DOI: 10.1007/pl00000544