On compact spaces carrying Radon measures of uncountable Maharam type
Volume 154 / 1997
Fundamenta Mathematicae 154 (1997), 295-304
DOI: 10.4064/fm-154-3-295-304
Abstract
If Martin's Axiom is true and the continuum hypothesis is false, and $X$ is a compact Radon measure space with a non-separable $L^1$ space, then there is a continuous surjection from $X$ onto $[0,1]^{ω_1}$.