The Dimension of Inverse Limits

DOI10.2307/2041402zbMath0348.54029OpenAlexW4246173762MaRDI QIDQ4118490

Michael G. Charalambous

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2041402

Mathematics Subject Classification ID

Uniform structures and generalizations (54E15) Dimension theory in general topology (54F45) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Counterexamples in general topology (54G20) Spectra in general topology (54B35)

Related Items (9)

An Example Concerning Inverse Limit Sequences of Normal Spaces ⋮ Inductive Dimension and Inverse Sequences of Compact Spaces ⋮ On the Dimension of Limits of Inverse Systems ⋮ Dimension theory ⋮ Covering dimension of topological products ⋮ On genericity of shadowing in one dimension ⋮ Spaces with Noncoinciding Dimensions ⋮ Covering dimension d by a normal base ⋮ Unnamed Item

Cites Work

• On covering dimension and inverse limits of compact spaces
• A Note on Metric-Fine Spaces
• A New Covering Dimension Function for Uniform Spaces
• Some Nearly Fine Uniform Spaces
• Inverse Limits of Perfectly Normal Spaces
• On functions defined on Cartesian products
• Factoring Functions on Cartesian Products
• Characterizations of uniformity-dependent dimension functions
• Countable paracompactness of inverse limits and products
• On the dimension of the product of Tychonoff spaces
• Prabir Roy's space Δ is not n-compact
• The product of a normal space and a metric space need not be normal
• Paracompactness and product spaces
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