1 research outputs found
Genus 2 Cantor sets
We construct a geometrically self-similar Cantor set of genus in
. This construction is the first for which the local genus is
shown to be at every point of . As an application, we construct, also
for the first time, a uniformly quasiregular mapping for which the Julia set is a genus Cantor set.Comment: 20 pages, 6 figure