Turkish Journal of Mathematics
DOI
10.3906/mat-1501-34
Abstract
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 $\dim_H[0,1]\setminus F=0$.
First Page
784
Last Page
788
Recommended Citation
WEI, CHUN and WEN, SHENGYOU
(2016)
"A remark on singularity of homeomorphisms and Hausdorff dimension,"
Turkish Journal of Mathematics: Vol. 40:
No.
4, Article 7.
https://doi.org/10.3906/mat-1501-34
Available at:
https://journals.tubitak.gov.tr/math/vol40/iss4/7
