Preservation of completeness by some continuous maps

DOI10.1016/j.topol.2010.04.004zbMath1196.54051OpenAlexW2162392366MaRDI QIDQ977454

Petr Holický

Publication date: 22 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.topol.2010.04.004

zbMATH Keywords

paracompactČech-completecompletely metrizableresolvable set\(0\)-dimensionalscattered-complete

Mathematics Subject Classification ID

Complete metric spaces (54E50) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (4)

Luzin's topological problem ⋮ Analytically heavy spaces: analytic Cantor and analytic Baire theorems ⋮ Preservation of complete Baireness ⋮ Open-constructible functions

Cites Work

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• New basic result in classical descriptive set theory: preservation of completeness
• Perfect images of absolute Souslin and absolute Borel Tychonoff spaces
• Internal descriptions of absolute Borel classes
• On a question by Alexey Ostrovsky concerning preservation of completeness
• Resolvable maps preserve complete metrizability
• A Note on Completely Metrizable Spaces
• Complete Exhaustive Sieves and Games
• Internal characterizations of topologically complete spaces in the sense of E. Čech

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