2020. 01. 23. 14:00 - 2020. 01. 23. 15:30
Rényi Intézet, Kutyás terem
-
-
-
Esemény típusa:
szeminárium
Szervezés:
Intézeti
-
Analízis szeminárium
Leírás
We discuss the subsets of metric spaces that are negligible for the infimal length of connecting curves; such sets are called metrically removable. In particular, we show that every totally disconnected set with finite Hausdorff measure of codimension 1 is metrically removable, which answers a question raised by Hakobyan and Herron. The metrically removable sets are shown to be related to other classes of "thin" sets that appeared in the literature. They are also related to the removability problems for classes of holomorphic functions with restrictions on the derivative. It is based on joint work with L.V. Kovalev, T. Rajala, and is available at arXiv:1707.07363.