The sets H_s and overline{B}_s of continuous functions with graph dimension s are shown to have specific (alpha, c)-spaceability and lineability properties, resolving open questions from prior work.
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.FA 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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 spaceability of continuous functions and fractal dimensions
The sets H_s and overline{B}_s of continuous functions with graph dimension s are shown to have specific (alpha, c)-spaceability and lineability properties, resolving open questions from prior work.
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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.