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2006-10-17 Seminar

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> {{{}}}**Some properties of the Minkowski sum of measurable sets**
> In this talk we will deal with some properties of the Minkowski sum of measurable sets. We will present the proof of Steinhaus theorem, which states that the Minkowski sum of positive measure sets contains a segment, as well as its application. Moreover we will give an example of a measurable set A, such that the set A+A is non-measurable.


Hubert Przybycień
Some properties of the Minkowski sum of measurable sets

In this talk we will deal with some properties of the Minkowski sum of measurable sets. We will present the proof of Steinhaus theorem, which states that the Minkowski sum of positive measure sets contains a segment, as well as its application. Moreover we will give an example of a measurable set A, such that the set A+A is non-measurable.

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