The $\sigma$-class generated by balls contains all Borel sets
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- by Vladimír Olejček PDF
- Proc. Amer. Math. Soc. 123 (1995), 3665-3675 Request permission
Abstract:
The $\sigma$-class, i.e. the system of sets closed under complementation, countable disjoint unions and containing the empty set, generated by the system of open balls coincides with the $\sigma$-field of Borel sets in ${\mathbb {R}^3}$.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 3665-3675
- MSC: Primary 28A05; Secondary 04A03
- DOI: https://doi.org/10.1090/S0002-9939-1995-1327035-7
- MathSciNet review: 1327035