Real Analysis Exchange
- Real Anal. Exchange
- Volume 24, Number 2 (1999), 859-866.
The Dynkin System Generated by the Large Balls of ℝn
We prove that in an at least three dimensional Euclidean space the Dynkin system generated by the family of all open balls with radii at least one (that is, the smallest collection containing the open balls with radii at least one and closed under complements and countable disjoint unions) does not contain all Borel sets. We also give a simple characterization of the sets of this Dynkin system.
Real Anal. Exchange, Volume 24, Number 2 (1999), 859-866.
First available in Project Euclid: 28 September 2010
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Keleti, Tamás. The Dynkin System Generated by the Large Balls of ℝ n. Real Anal. Exchange 24 (1999), no. 2, 859--866. https://projecteuclid.org/euclid.rae/1285689161