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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

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Mathematics Commons

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