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

DOI10.2969/JMSJ/06330919zbMath1246.54029OpenAlexW2151316334MaRDI QIDQ719089

Masahiro Matsumoto, 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/06330919

zbMATH Keywords

covering dimensionbox-counting dimensionnormal sequence of open coversPontrjagin-Schnirelmann theorem

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Dimension theory in general topology (54F45)

Related Items (3)

Normal sequences in all scales ⋮ Fractal metrics of Ruelle expanding maps and expanding ratios ⋮ Addendum to: Characterizations of topological dimension by use of normal sequences of finite open covers and Pontrjagin-Schnirelmann theorem

Cites Work

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• Bruijning-Nagata and Hashimoto-Hattori characteristics of covering dimension revisited
• A characterization of dimension of topological spaces by totally bounded pseudometrics
• A characterization of covering dimension by use of \(\Delta_k(X)\)
• On Nagata's star-index \(*_{k}(X)\)
• Open problems left in my wake of research
• Sur une propriété métrique de la dimension

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