• 제목/요약/키워드: Haus-dorff dimension

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DIMENSIONALLY INVARIANT SPACES

  • Baek, In Soo
    • 충청수학회지
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    • 제22권2호
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    • pp.245-250
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    • 2009
  • 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 Hausdorff and packing dimensions of any subset in the unit interval and its image under the code function coincide respectively.

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