
Cantor set
Sticky Cantor sets ★★
Author(s):
Conjecture Let
be a Cantor set embedded in
. Is there a self-homeomorphism
of
for every
greater than
so that
moves every point by less than
and
does not intersect
? Such an embedded Cantor set for which no such
exists (for some
) is called "sticky". For what dimensions
do sticky Cantor sets exist?













Keywords: Cantor set
