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 $\dim_H[0,1]\setminus F=0$.
Keywords
Singularity, homeomorphism, Hausdorff dimension
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
