Abstract
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).
Publication Date
2006
Document Type
Article
Department, Program, or Center
School of Mathematical Sciences (COS)
Recommended Citation
William Basener and Carl V. Lutzer, Twisted Solenoids and Maps of R2 Whose Minimal Sets Are Cantor Sets, Top. Proc. 30, no 1 (2006) pp. 69-81.
Campus
RIT – Main Campus
Comments
This is the pre-print of an article published in Topology Proceedings. Copyright 2006 Topology Proceedings. The final, published version is located here: http://topology.auburn.edu/tp/reprints/v30/tp30105.pdf
Note: imported from RIT’s Digital Media Library running on DSpace to RIT Scholar Works in February 2014.