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Analytic sets of reals and the density function in the Cantor space

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Publication:2419682
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DOI10.1007/s40879-018-0238-9OpenAlexW3105888479MaRDI QIDQ2419682

Alessandro Andretta, Riccardo Camerlo

Publication date: 14 June 2019

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.02285


zbMATH Keywords

analytic setsdensity functionCantor space


Mathematics Subject Classification ID

Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05)


Related Items (5)

Lebesgue's density theorem and definable selectors for ideals ⋮ Souslin quasi-orders and bi-embeddability of uncountable structures ⋮ Lebesgue density and exceptional points ⋮ Polish metric spaces with fixed distance set ⋮ Baire category lower density operators with Borel values




Cites Work

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  • Construction of Borel inseparable coanalytic sets.
  • The descriptive set theory of the Lebesgue density theorem
  • Determinateness and the separation property
  • On the concept of 𝑃𝑖₁¹-completeness
  • The completeness of the isomorphism relation for countable Boolean algebras
  • Lebesgue density and exceptional points




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