A remark on singularity of homeomorphisms and Hausdorff dimension
We prove that there is a homeomorphism of the unit interval onto itself that is so singular that it maps some set $E$ of $\dim_HE=0$ onto a set $F$ of $\dim_H[0,1]\setminus F=0$.
Keywords:
Singularity homeomorphism, Hausdorff dimension,
- ISSN: 1300-0098
- Yayın Aralığı: 6
- Yayıncı: TÜBİTAK