Compact Hausdorff space with more homeomorphisms than Borel measures – mathoverflow.net
Miles Gould
Does there exist a compact Hausdorff space $X$ of weight $\mathfrak{c}$ with ccc such that $|\text{Homeo}(X)|>|M(X)|$, where $M(X)$ is the space of complex-valued regular Borel measures on $X$. If ...