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Baire property of some function spaces

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Publication:2678396
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DOI10.1007/s10474-022-01274-7OpenAlexW4308965316MaRDI QIDQ2678396

Evgeny G. Pytkeev, Alexander V. Osipov

Publication date: 23 January 2023

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

Full work available at URL: https://arxiv.org/abs/2204.05974

zbMATH Keywords

Fréchet spacefunction spaceBaire propertyPeano continuumtotally disconnected space\(\pi\)-monolithic compact space


Mathematics Subject Classification ID

Function spaces in general topology (54C35) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Baire category, Baire spaces (54E52) General theory of locally convex spaces (46A03) (C)- and (C^*)-embedding (54C45)




Cites Work

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  • A pseudocompact Tychonoff space all countable subsets of which are closed and \(C^*\)-embedded
  • Baire property of spaces of continuous functions
  • Category in function spaces. I
  • On topological spaces whose function space is of second category
  • A \(C_p\)-theory problem book. Topological and function spaces
  • Characterizing Hilbert space topology
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