Complexities and representations of $\mathcal F$-Borel spaces

DOI10.4064/dm794-2-2019zbMath1432.54038arXiv1804.08367OpenAlexW2953899078MaRDI QIDQ5226505

Vojtěch Kovařík

Publication date: 31 July 2019

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.08367

zbMATH Keywords

\(\mathcal F\)-Borel classes in compactifications\(\mathcal F\)-Borel setsTalagrand's spaces

Mathematics Subject Classification ID

Counterexamples in general topology (54G20) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Cites Work

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• Descriptive topology in selected topics of functional analysis
• 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
• Perfect images of absolute Souslin and absolute Borel Tychonoff spaces
• Absolute \(F_{\sigma\delta}\) spaces
• k-Discreteness and k-Analytic Sets
• Absolute $\mathcal F$-Borel classes
• A survey of separable descriptive theory of sets and spaces

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