Addendum to: Characterizations of topological dimension by use of normal sequences of finite open covers and Pontrjagin-Schnirelmann theorem

DOI10.2969/JMSJ/06330977zbMath1251.54031OpenAlexW4232767325MaRDI QIDQ719090

Hisao Kato

Publication date: 27 September 2011

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/06330977

zbMATH Keywords

topological dimensionMenger compactalower (upper) box-counting dimensionsnormal sequence of finite open covers

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Fractals (28A80) Dimension theory in general topology (54F45) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)

Cites Work

• Characterizations of topological dimension by use of normal sequences of finite open covers and Pontrjagin-Schnirelmann theorem
• One-dimensional continuous curves and a homogeneity theorem
• Controlled Hahn--Mazurkiewicz Theorem and some new dimension functions of Peano continua
• Open problems left in my wake of research
• Characterizing 𝑘-dimensional universal Menger compacta
• Sur une propriété métrique de la dimension
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