ON A CONJECTURE REGARDING THE UPPER GRAPH BOX DIMENSION OF BOUNDED SUBSETS OF THE REAL LINE

DOI10.1142/S0218348X13500175zbMath1290.28006arXiv1207.6735WikidataQ60110253 ScholiaQ60110253MaRDI QIDQ5417519

Giorgos Kelgiannis, Vaios Laschos

Publication date: 21 May 2014

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6735

zbMATH Keywords

box dimensioncontinuous functionsBaire category

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Hausdorff and packing measures (28A78)

Cites Work

• On the box dimensions of graphs of typical continuous functions
• Dimensions of prevalent continuous functions
• The horizon problem for prevalent surfaces
• Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces
• Dimension and measure for generic continuous images

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