Positive-measure self-similar sets without interior
Published online by Cambridge University Press: 01 June 2006
We recall the problem posed by Peres and Solomyak in Problems on self-similar and self-affine sets; an update. Progr. Prob.46 (2000), 95–106: can one find examples of self-similar sets with positive Lebesgue measure, but with no interior? The method in Properties of measures supported on fat Sierpinski carpets, this issue, leads to families of examples of such sets.
- Research Article
- 2006 Cambridge University Press