Topology + Dynamics and Continuum Theory
32nd Summer Conference on Topology and Its Applications
The Seifert conjecture was answered negatively in 1994 by Kuperberg who constructed a smooth aperiodic flow on a three-manifold. This construction was later found to contain a minimal set with a complicated topology. The minimal set is embedded as a lamination by surfaces with a Cantor transversal of Lebesgue measure zero. In this talk we will discuss the pseudogroup dynamics on the transversal, the induced symbolic dynamics, and the Hausdorff dimension of the Cantor set.
Copyright © 2017, the Author
Ingbretson, Daniel, "Hausdorff Dimension of Kuperberg Minimal Sets" (2017). Summer Conference on Topology and Its Applications. 9.