The Hausdorff Dimension of Graphs of Density Continuous Functions

DOI10.2307/2048652zbMath0732.28006OpenAlexW4245569679MaRDI QIDQ3358982

Zoltán Buczolich, Krzysztof Ostaszewski

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2048652

zbMATH Keywords

Hausdorff dimensiondensity topologygraphs of density continuous functions

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Singular functions, Cantor functions, functions with other special properties (26A30) Hausdorff and packing measures (28A78)

Cites Work

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• Some remarks on density-continuous functions
• Differentiability and density continuity
• Continuity in the density topology. II
• The Peano curve and the density topology
• Continuity in the density topology
• The space of density continuous functions
• Density Continuity versus Continuity
• The Hausdorff dimension of general Sierpiński carpets
• Density-preserving homeomorphisms
• DENSITY-PRESERVING HOMEOMORPHISMS AND A THEOREM OF MAXIMOFF

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