Abstract:An elementary proof is given of the fact that nonatomic measures on $n$ space, for which open sets have positive measure, are “homeomorphic". The proof is based on the fact that for such measures all hyperplanes in most directions have measure zero.
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 52 (1975), 196-198
- MSC: Primary 28A05; Secondary 28A60
- DOI: https://doi.org/10.1090/S0002-9939-1975-0376995-7
- MathSciNet review: 0376995