2 problems

Analytic-disc conjecture. The complementary set $\widehat{X}\setminus X$ must contain an analytic disc. This conjecture was disproved by Gabriel Stolzenberg in 1963, who constructe…

Let $A$ be a uniform algebra on a compact Hausdorff space $K$, and let $\mathfrak{M}_A$ denote its maximal ideal space. An analytic disc is a nonconstant holomorphic map from the u…