Lower density type operators with Borel values

DOI10.1007/S00025-023-02054-7OpenAlexW4388912577MaRDI QIDQ6143041

Władysław Wilczyński, Marek Balcerzak

Publication date: 4 January 2024

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-023-02054-7

zbMATH Keywords

meager setslower density operatorthe Baire propertycomplete densityintensity pointsimple density

Mathematics Subject Classification ID

Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Classification of real functions; Baire classification of sets and functions (26A21)

Cites Work

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• On a generalization of density topologies on the real line
• On abstract and almost-abstract density topologies
• The descriptive set theory of the Lebesgue density theorem
• Baire category lower density operators with Borel values
• A category analogue of the density topology non-homeomorphic with the \(\mathcal {I}\)-density topology
• Complete density topology
• Simple density topology
• A category analogue of the density topology
• On the Baire Class of J-Approximate Derivatives
• Sequences of measurable functions
• ℐ-density continuous functions
• Complete Convergence and the Law of Large Numbers

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