A relationship between packing and topological dimensions

DOI10.1112/S0025579300014030zbMath0904.28006MaRDI QIDQ4209029

Helen Joyce

Publication date: 3 November 1998

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

topological dimensionHausdorff dimensionsseparable metric spacepacking dimensions

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Length, area, volume, other geometric measure theory (28A75) Dimension theory in general topology (54F45) Hausdorff and packing measures (28A78)

Related Items (3)

Some New Concepts of Dimension ⋮ Topological dimensions and multifractal Rényi dimensions of Polish spaces: a multifractal Szpilrajn type theorem ⋮ ON A METRIC GENERALIZATION OF THE tt-DEGREES AND EFFECTIVE DIMENSION THEORY

Cites Work

• Spaces of Finite Length
• Packing Measure, and its Evaluation for a Brownian Path
• The packing measure of rectifiable subsets of the plane
• Packing regularity of sets in n-space
• Two definitions of fractional dimension
• Concerning Continua of Finite Degree and Local Separating Points
• Continua of finite degree and certain product sets
• Continua of Finite Linear Measure I

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