Splitting Tychonoff cubes into homeomorphic and homogeneous parts (and more)

Seminar: 
Topologia
Osoba referująca: 
Jan van Mill (University of Amsterdam)
Seminar item date: 
Tuesday, 20. October 2020 - 17:00
Sala: 
zoom.us (contact pborod@math.uni.wroc.pl)
Abstract: 
We prove (among other things) that if $X$ is the Tychonoff cube of weight $\tau$, where $\tau$ is uncountable, and $\mathcal{E}$ is a cover of $X$ by subspaces each homeomorphic to a topological group, then $|\mathcal{E}|\ge \tau^+$.