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math.MG2012
A note on the 1-prevalence of continuous images with full Hausdorff dimension
Jonathan M. Fraser, James T. Hyde
We consider the Banach space consisting of real-valued continuous functions on an arbitrary compact metric space. It is known that for a prevalent (in the sense of Hunt, Sauer and…
math.MG2011★ 1 cited
The Hausdorff dimension of graphs of prevalent continuous functions
Jonathan M. Fraser, James T. Hyde
We prove that the Hausdorff dimension of the graph of a prevalent continuous function is 2. We also indicate how our results can be extended to the space of continuous functions on…