Pseudo-arc in Measure Theory

04.03.2021 15:00 - 16:30

Jernej Činč (Universität Wien)


Pseudo-arc is besides the arc the only planar continuum (i.e. compact connected metric space) so that every of its proper subcontinua is homeomorphic to itself. Its first description appeared in the literature about hundred years ago and due to many of its remarkable properties it is an object of much interest in Continuum Theory and beyond. In this talk I will show results which make pseudo-arc an interesting object also from a measure theoretical perspective. In the end of the talk I will discuss some applications of these results.

This talk is based on a joint work with Piotr Oprocha.


H. Bruin, R. Zweimüller