Resolvable maps preserve complete metrizability

DOI10.1090/S0002-9939-10-10246-9zbMath1195.54058MaRDI QIDQ3566692

Su Gao, Vincent Kieftenbeld

Publication date: 8 June 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

resolvable setcomplete metrizabilityresolvable map

Mathematics Subject Classification ID

Complete metric spaces (54E50) Descriptive set theory (03E15) Special maps on metric spaces (54E40) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (7)

Luzin's topological problem ⋮ Closed-constructible functions are piecewise closed ⋮ Descriptive complexity of \(\mathsf{qc} \mathsf{b}_0\)-spaces ⋮ Preservation of complete Baireness ⋮ Open-constructible functions ⋮ Preservation of completeness by some continuous maps ⋮ On a question by Alexey Ostrovsky concerning preservation of completeness

Cites Work

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• New basic result in classical descriptive set theory: preservation of completeness
• On a question by Alexey Ostrovsky concerning preservation of completeness
• Quotients of the space of irrationals
• On Closed Images of the Space of Irrationals

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