Baire property of spaces of \([0, 1]\)-valued continuous functions

DOI10.1007/S13398-022-01371-WOpenAlexW4311845472MaRDI QIDQ2681989

Evgeny G. Pytkeev, Alexander V. Osipov

Publication date: 31 January 2023

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.05976

zbMATH Keywords

function spaceBaire propertyPeano continuumalmost open map

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

• 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
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