Normal sequences in all scales

DOI10.1016/j.topol.2013.12.015zbMath1287.54029OpenAlexW2046572188MaRDI QIDQ2435269

Takahisa Miyata

Publication date: 4 February 2014

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2013.12.015

zbMATH Keywords

Assouad-Nagata dimensionasymptotic dimensionnormal sequencecoarse categoryuniform categoryLipschitz category

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Metric geometry (51F99) Dimension theory in general topology (54F45) Special categories (18B99)

Cites Work

• Characterizations of topological dimension by use of normal sequences of finite open covers and Pontrjagin-Schnirelmann theorem
• On asymptotic Assouad-Nagata dimension
• Approximate resolutions and box-counting dimension.
• Lipschitz functions and approximate resolutions
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