On compact spaces carrying Radon measures of uncountable Maharam type. (English) Zbl 0894.28007
Let \(X\) denote a compact Radon measure space with a non-separable \(L^1\) space. It is shown that there exists a continuous surjection from \(X\) to \([0,1]^{\omega_1}\), if Martin’s axiom is true and the continuum hypothesis is false.
Reviewer: D.Plachky (Münster)
MSC:
| 28C15 | Set functions and measures on topological spaces (regularity of measures, etc.) |
| 54A25 | Cardinality properties (cardinal functions and inequalities, discrete subsets) |
| 03E50 | Continuum hypothesis and Martin’s axiom |
