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The Dynkin system generated by balls in contains all Borel sets

Authors:	Miroslav Zelený

Institution:	Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 186 00, Czech Republic

Abstract:	We show that for every $d \in \mathbb{N}$ each Borel subset of the space $\mathbb{R}^{d}$ with the Euclidean metric can be generated from closed balls by complements and countable disjoint unions.

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