A proof of the homeomorphism of Lebesgue-Stieltjes measure with Lebesgue measure
Authors: Casper Goffman and George Pedrick
Journal: Proc. Amer. Math. Soc. 52 (1975), 196-198
MSC: Primary 28A05; Secondary 28A60
MathSciNet review: 0376995
Full-text PDF Free Access
Abstract: An elementary proof is given of the fact that nonatomic measures on 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.