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A remark on singularity of homeomorphisms and Hausdorff dimension.
- Source :
-
Turkish Journal of Mathematics . 2016, Vol. 40 Issue 4, p784-788. 5p. - Publication Year :
- 2016
-
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 dimH E = 0 onto a set F of dimH[0; 1] \ F = 0. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13000098
- Volume :
- 40
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Turkish Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 116325706
- Full Text :
- https://doi.org/10.3906/mat-1501-34