Axiomatic characterizations of the dimension of metric spaces

DOI10.1016/0166-8641(94)00003-4zbMath0815.54028OpenAlexW1969669054MaRDI QIDQ1341411

Michael G. Charalambous

Publication date: 2 January 1995

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

Full work available at URL: https://doi.org/10.1016/0166-8641(94)00003-4

zbMATH Keywords

covering dimensionvirtual embeddinginfinite dimension

Mathematics Subject Classification ID

Dimension theory in general topology (54F45) Dimension theory in algebraic topology (55M10)

Cites Work

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• On covering dimension and inverse limits of compact spaces
• An axiomatic characterization of the dimension of subsets of Euclidean spaces
• A method of the theory of rings of functions for the construction of compactifications
• Spaces Without Cohomological Dimension Preserving Compactifications
• Infinite dimensional compacta containing no 𝑛-dimensional (𝑛⩾1) subsets
• Nonequality of Dimensions for Metric Spaces
• HOMOLOGICAL DIMENSION THEORY