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학술저널

DIMENSIONALLY INVARIANT SPACES

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We consider a code function from the unit interval which has a generalized dyadic expansion into a coding space which has an associated ultra metric. The code function is not a bi-Lipschitz map but a dimension-preserving map in the sense that the Hausdor?? and packing dimensions of any subset in the unit in-terval and its image under the code function coincide respectively.

1. Introduction

2. Preliminaries

3. Main results

References

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