| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4614523 | Journal of Mathematical Analysis and Applications | 2016 | 8 Pages |
Abstract
We prove that for a typical continuous function f∈C(X)f∈C(X) over an uncountable compact metric space X, the packing dimension of its graphGf={(x,f(x))|x∈X} is dimP(X)+1dimP(X)+1; we also consider decompositions of functions in C([0,1])C([0,1]) in terms of upper box dimension as well as packing dimension, which are quite different from the case of Hausdorff dimension.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jia Liu, Bo Tan, Jun Wu,