Oberseminar: Thomas Pawlaschyk (G.15.25)
We present a selection theorem for domains in $\mathbb{C}^n$, $n\geq 1$, which states that any tamed sequence of pointed connected open subsets admits a subsequence convergent to its own kernel in the sense of Carathéodory. Not only is this analogous to the well-known Blaschke selection theorem for compact convex sets, but it fits better in the study of normal families of biholomorphic maps with varying domains and ranges. This is joint work with Kang-Tae Kim.
