Between compactness and completeness

DOI10.1016/j.topol.2007.08.020zbMath1169.54012OpenAlexW2042152583MaRDI QIDQ2474459

Gerald A. Beer

Publication date: 6 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.topol.2007.08.020

zbMATH Keywords

compactadmissible metriccofinally complete Cauchy sequencecofinally complete metric space

Mathematics Subject Classification ID

Complete metric spaces (54E50) Metric spaces, metrizability (54E35) Special maps on metric spaces (54E40)

Related Items (26)

On paracompactness, completeness and boundedness in uniform spaces ⋮ On Cauchy condition and related notion of connectedness ⋮ Cauchy-subregular functions vis-à-vis different types of continuity ⋮ On the uniform approximation of Cauchy continuous functions ⋮ On metric spaces where continuous real valued functions are uniformly continuous in \(\mathbf{ZF}\) ⋮ Homomorphisms on Topological Groups from the Perspective of Bourbaki-boundedness ⋮ Stability of Lipschitz-type functions under pointwise product and reciprocation ⋮ A universal space for the Bourbaki-complete spaces and further examples ⋮ On certain new types of completeness properties using infinite chainability and associated metrization problems in uniform spaces ⋮ The bornology of cofinally complete subsets ⋮ Induced homeomorphism and Atsuji hyperspaces ⋮ Split Lipschitz-type functions ⋮ More on variants of complete metric spaces ⋮ Functions that preserve certain classes of sequences and locally Lipschitz functions ⋮ On strongly Čech-complete spaces ⋮ On certain versions of straightness ⋮ Complete metrizability of topologies of strong uniform convergence on bornologies ⋮ Cofinal completion vis-á-vis Cauchy continuity and total boundedness ⋮ Cofinal completeness vis-á-vis hyperspaces ⋮ Ekeland's theorem and UC spaces ⋮ On boundedly compact metrics and UC metrics ⋮ A new type of statistical Cauchy sequence and its relation to Bourbaki completeness ⋮ Finitely chainable and totally bounded metric spaces: equivalent characterizations ⋮ On some Lipschitz-type functions ⋮ Unnamed Item ⋮ Locally Lipschitz functions, cofinal completeness, and UC spaces

Cites Work

• Uniform continuity of continuous functions of metric spaces
• Spaces whose finest uniformity is metric
• Modern analysis and topology
• A topology for spaces of transformations
• The Determination of Paracompactness by Uniformities
• More about metric spaces on which continuous functions are uniformly continuous
• Metric Spaces on which Continuous Functions are Uniformly Continuous and Hausdorff Distance
• On Uniform Continuity and Compactness in Metric Spaces
• A Note on Uniform Paracompactness
• On Normal Metrics
• On completeness
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Between compactness and completeness