>On Sep 5, 10:55 pm, Tim Little <t...@little-possums.net> wrote: > > >>On 2011-09-05, miki <miki.li...@gmail.com> wrote: >> >> >>>My question is, Can G can be a disc (including the origin ) on R^2 >>>for example, and M is any simple continuous curve in that disc which >>>splits the disc to half? >>>The measure of that curve is zero on R^2 (isn't it)? >>> >>> >>It is, yes. >> >> > >An arc (homeomorph of the closed unit interval) in the plane can have >positive two-dimensional Lebesgue measure. > >
Can a *homeomorph* have this property? Or an image?
-- Stephen J. Herschkorn firstname.lastname@example.org Math Tutor on the Internet and in Central New Jersey and Manhattan