Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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DIMENSIONALLY INVARIANT SPACES

  • Baek, In Soo (Department of Mathematics Pusan University of Foreign Studies)
  • Received : 2009.03.30
  • Accepted : 2009.05.15
  • Published : 2009.06.30
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Abstract

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.

Keywords

References

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