Abstract
We prove that for a typical continuous function f∈C(X) over an uncountable compact metric space X, the packing dimension of its graphGf={(x,f(x))|x∈X} is dimP(X)+1; we also consider decompositions of functions in C([0,1]) in terms of upper box dimension as well as packing dimension, which are quite different from the case of Hausdorff dimension.
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