We construct homeomorphisms of R2 that have a Cantor set which is a minimal set. Some of these homeomorphisms are proven to be C^(infinity), while the others are conjectured to be nondifferentiable (Refer to PDF file for exact formulas).
Department, Program, or Center
School of Mathematical Sciences (COS)
Topology Proceedings 30N1 (2006) 69-81
RIT – Main Campus