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where ydim is metric dimension as defined by Katetov [3], and dim X is covering dimension. The following is a natural question. Suppose d is d2, d3, d5, or Adim; and suppose d(X, p) = r 0 with p(Ca, Ca,) >e for all ac 0 there exists an open cover ca of X with

Equivalent metrics giving different values to metric-dependent dimension functions