DIMENSIONALLY EQUIVALENT SPACES

  • Baek, In Soo (Department of Mathematics Pusan University of Foreign Studies)
  • Received : 2008.10.13
  • Accepted : 2008.11.20
  • Published : 2008.12.30

Abstract

We compare a coding space which has an ultra metric with the unit interval which has an associated generalized dyadic expansion. The two spaces are not homeomorphic but dimensionally equivalent in the sense that the Hausdorff and packing dimensions of the corresponding distribution sets in the two spaces coincide.

Keywords