The covering dimension invariants

DOI10.1016/J.TOPOL.2011.09.047zbMath1260.54053OpenAlexW2048528309MaRDI QIDQ429330

Dimitris Georgiou, Stavros Iliadis, Konstantin L. Kozlov

Publication date: 19 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.09.047

zbMATH Keywords

compactificationuniformityproximityuniversal spacenormal basecovering dimension invariantsWallman-type compactification

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Dimension theory in general topology (54F45)

Related Items (3)

Base normal inductive dimension I of cubes ⋮ Computation of inductive dimensions of product of compacta ⋮ Uniformities for Wallman compactifications and realcompactifications

Cites Work

• Covering dimension d by a normal base
• Algebras of uniformly continuous functions
• On isometrically universal spaces, mappings, and actions of groups
• Spaces \(N\cup\mathcal R\) and their dimensions
• The inductive dimension of a space by its normal base
• Wallman and Z-compactifications
• Rings of functions determined by zero-sets
• On the dimension of compact spaces
• Spaces of continuous functions (III) (Spaces C(Ω) for Ω without perfect subsets)
• A New Covering Dimension Function for Uniform Spaces
• On compactifications of infinite-dimensional spaces
• On WALLMAN-SHANIN-compactifications
• β-like compactifications
• Compactifications as closures of graphs
• Nonequality of Dimensions for Metric Spaces
• Nest Generated Intersection Rings in Tychonoff Spaces
• On the dimension of proximity spaces
• On Wallman-type compactifications
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