Geodesic
On compact spaces carrying Radon measures of uncountable Maharam type
Fundamenta Mathematicae, Tome 154 (1997) no. 3, pp. 295-304
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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 $[0,1]^{ω_1}$. 
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     title = {On compact spaces carrying {Radon} measures of uncountable {Maharam} type},
     journal = {Fundamenta Mathematicae},
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D. H. Fremlin. On compact spaces carrying Radon measures of uncountable Maharam type. Fundamenta Mathematicae, Tome 154 (1997) no. 3, pp. 295-304. doi: 10.4064/fm-154-3-295-304

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