A Characterization of Closed Images of Metric Spaces

DOI10.2307/2045825zbMath0592.54027OpenAlexW4229977996MaRDI QIDQ3721399

L. Foged

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045825

zbMATH Keywords

Fréchet space\(\sigma \) -hereditarily closure-preserving k-network

Mathematics Subject Classification ID

(p)-spaces, (M)-spaces, (sigma)-spaces, etc. (54E18) Sequential spaces (54D55)

Related Items (15)

Topological groups with a certain point-countable cover ⋮ Mapping theorems on \(\aleph\)-spaces ⋮ \(\aleph\)-spaces and \(g\)-metrizable spaces and CF family ⋮ On \(k\)-networks and weak bases for spaces ⋮ The Fréchet-Urysohn property of Pixley-Roy hyperspaces ⋮ Images on locally separable metric spaces ⋮ The \(k_{R}\)-property of free abelian topological groups and products of sequential fans ⋮ \(\aleph\)-spaces and spaces with a \(\sigma\)-hereditarily closure- preserving \(k\)-network ⋮ Open problems left in my wake of research ⋮ Unnamed Item ⋮ k-systems, k-networks and k-covers ⋮ Compact images of spaces with a weaker metric topology ⋮ On CF families and hyperspaces of compact subsets ⋮ Remarks on metrizability and generalized metric spaces ⋮ Precise bounds for the sequential order of products of some Fréchet topologies

Cites Work

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• Normality in k-and-\(\aleph\) spaces
• Spaces determined by point-countable covers
• A note on closed maps and compact sets
• Metrizability of Decomposition Spaces
• Closed mappings and metric spaces
• Hereditarily Closure-Preserving Collections and Metrization
• Spaces in which sequences suffice
• A Metrization Theorem

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