The Dynkin system generated by balls in ℝ^{𝕕} contains all Borel sets

Zelený, Miroslav

doi:10.1090/S0002-9939-99-05507-0

The Dynkin system generated by balls in $\mathbb {R}^d$ contains all Borel sets
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by Miroslav Zelený PDF

Proc. Amer. Math. Soc. 128 (2000), 433-437 Request permission

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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