A note on spaces with certain point-countable networks

DOI10.1007/s10474-008-7176-9zbMath1265.54116OpenAlexW2091763089MaRDI QIDQ1046823

J. Blot

Publication date: 29 December 2009

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-008-7176-9

zbMATH Keywords

Fréchet spacessequence-covering mappingspseudo-sequence-covering mappings\(sn\)-networks\(wcs^{\ast}\)-networkslocally separable metric spaces

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Special maps on metric spaces (54E40) Fairly general properties of topological spaces (54D99) Separability of topological spaces (54D65)

Cites Work

• Point-countable \(k\)-networks, closed maps, and related results
• Quotient compact images of metric spaces, and related matters
• Spaces determined by point-countable covers
• A note on closed images of locally compact metric spaces
• Images on locally separable metric spaces
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