Open-constructible functions

DOI10.1016/j.topol.2014.10.016zbMath1306.54036arXiv1302.1979OpenAlexW2963477164MaRDI QIDQ471494

Alexey Ostrovsky

Publication date: 14 November 2014

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

Full work available at URL: https://arxiv.org/abs/1302.1979

zbMATH Keywords

null-dimensional separable metric spacepiecewise open mapresolvable set

Mathematics Subject Classification ID

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

Related Items (1)

Remarks on Ostrovsky's theorem

Cites Work

• Unnamed Item
• Closed-constructible functions are piecewise closed
• Preservation of completeness by some continuous maps
• \(G_{\delta}\)-embeddings in Hilbert space
• On a question by Alexey Ostrovsky concerning preservation of completeness
• Generalization of sequences and convergence in metric spaces
• Preservation of the Borel class under open-LC functions
• Resolvable maps preserve complete metrizability

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