Absolute \(F_{\sigma\delta}\) spaces

DOI10.1016/j.topol.2017.10.020zbMath1382.54021arXiv1703.03066OpenAlexW2596787869MaRDI QIDQ1680129

Vojtěch Kovařík, Ondřej F. K. Kalenda

Publication date: 22 November 2017

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

Full work available at URL: https://arxiv.org/abs/1703.03066

zbMATH Keywords

separable Banach spacehereditarily Lindelöf space\(F_{\sigma\delta}\)~spaceabsolutely \(F_{\sigma\delta}\)~space

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (2)

Characterizations of weakly \(\mathcal{K} \)-analytic and Vašák spaces using projectional skeletons and separable PRI ⋮ Complexities and representations of $\mathcal F$-Borel spaces

Cites Work

• A solution of the abstract Dirichlet problem for Baire-one functions
• Talagrand's \(K_{\sigma \delta}\) problem
• Choquet simplexes whose set of extreme points is K-analytic
• Espaces de Banachs faiblement K-analytiques
• Perfect images of absolute Souslin and absolute Borel Tychonoff spaces
• Generalizations of the $G_\delta$-property of complete metric spaces
• Absolute Borel sets and function spaces
• Absolute $\mathcal F$-Borel classes
• Characterizations of absolute F σδ-sets
• On the descriptive theory of sets
• A survey of separable descriptive theory of sets and spaces
• Functional analysis and infinite-dimensional geometry

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