Generalized Analytic Spaces, Completeness and Fragmentability

DOI10.1023/A:1013769030260zbMath0995.54035MaRDI QIDQ3151362

Petr Holický

Publication date: 15 October 2002

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30672

zbMATH Keywords

complete sequence of coversscattered-\(K\)-analytic space\(\sigma \)-fragmented spaceČech analytic spaceisolated-\(K\)-analytic space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Topological characterizations of particular spaces (54F65) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (4)

Internal descriptions of absolute Borel classes ⋮ Perfect images of absolute Souslin and absolute Borel Tychonoff spaces ⋮ Descriptive classes of sets in nonseparable spaces ⋮ Descriptive properties of mappings between nonseparable Luzin spaces

Cites Work

• Compact perfect sets in weak analytic spaces
• Separate continuity and joint continuity
• Sigma-fragmentability of mappings into \(C_p(K)\)
• Generalizations of the $G_\delta$-property of complete metric spaces
• Topological Properties of Banach Spaces
• Čech analytic and almost $K$-descriptive spaces
• σ‐fragmentability and analyticity
• A survey of separable descriptive theory of sets and spaces
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