Jan van Mill

Jan van Mill: Splitting Tychonoff cubes into homeomorphic and homogeneous parts (and more)

Tuesday, October 20, 2020 17:15

Location: Zoom.us: if you want to participate please contact organizers

Speaker:
Jan van Mill (University of Amsterdam)

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

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 \(|\mathcal{E}|\ge \tau^+\).