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Microscopic and strongly microscopic sets on the plane. Fubini theorem and Fubini property

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Publication:742034
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DOI10.2478/DEMA-2014-0046zbMath1296.28007OpenAlexW2046196304MaRDI QIDQ742034

Aleksandra Karasińska, Elżbieta Wagner-Bojakowska

Publication date: 17 September 2014

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/dema-2014-0046


zbMATH Keywords

Fubini theoremmicroscopic setFubini propertystrongly microscopic set on the plane


Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Length, area, volume, other geometric measure theory (28A75)


Related Items (3)

Fubini Property for Microscopic Sets ⋮ A generalization of the notion of microscopic sets ⋮ On some generic small Cantor spaces




Cites Work

  • Homeomorphisms of linear and planar sets of the first category into microscopic sets
  • Nowhere monotone functions and microscopic sets
  • Fubini properties of ideals
  • Some remarks on small sets
  • On some functional equations with a restricted domain
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