Intersections of continuous functions with prescribed Hausdorff dimension s and box dimensions r,t are shown to be strongly c-algebrable and spaceable, plus related lineability results.
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On strong algebrability and spaceability of continuous functions and fractal dimensions
Intersections of continuous functions with prescribed Hausdorff dimension s and box dimensions r,t are shown to be strongly c-algebrable and spaceable, plus related lineability results.