Measure Zero Sets with Non-Measurable Sum

Krzysztof Ciesielski, Chris Freiling, Hajrudin Fejzić · Real Analysis Exchange · 2002

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Type: article
Published: 2002-01-01
Cited by: 14
References: 8
Access: Open access
DOI: https://doi.org/10.14321/realanalexch.27.2.0783
OpenAlex: https://openalex.org/W1516195074
Semantic Scholar: https://api.semanticscholar.org/CorpusID:117891949

Keywords

Mathematics, Null set, Measure (data warehouse), Zero (linguistics), Cantor set

References

Sur la question de la mesurabilité de la base de M. HamelWacław Sierpiński — 1920
An Extension of a Theorem of Ash on Generalized DifferentiabilityMukhopadhyay, Mitra — 1998
Measure Zero Sets Whose Algebraic Sum Is Non-MeasurableCiesielski — 2000
Symmetric Properties of Real FunctionsBrian S. Thomson — 1994
A Pathological Lebesgue-Measurable FunctionLee A. Rubel — 1963
REPAIRING THE PROOF OF A CLASSICAL DIFFERENTIATION RESULTFejzić, Weil — 1993

Cited by

Algebraic sums of sets in Marczewski-Burstin algebras.François G. Dorais, Rafał Filipów — 2006
On nonmeasurable imagesRobert Rałowski, Szymon Żeberski — 2010
ON MEASURABILITY OF ALGEBRAIC SUMS OF SMALL SETSAlexander Kharazishvili, Aleks Kirtadze — 2008
Remarks on nonmeasurable unions of big point familiesRobert Rałowski — 2009
On continuity of measurable group representations and homomorphismsYulia Kuznetsova — 2010
Cantor Set in Measure TheoryAlaa Jamal, Moustafa Yaseen — 2005
On a bad descriptive structure of Minkowski’s sum of certain small sets in a topological vector spaceAlexander Kharazishvili — 2008
A Pl\"unnecke-Ruzsa inequality in compact abelian groupsPablo Candela, Diego González-Sánchez, Anne de Roton — 2017
Non-meagre subgroups of reals disjoint with meagre setsZiemowit Kostana — 2018
Contributions to noncommutative harmonic analysis and duality problemsYulia Kuznetsova — 2018
Nonmeasurable products of absolutely negligible sets in uncountable solvable groupsAlexander Kharazishvili — 2023
On the Existence of the Adversarial Bayes Classifier (Extended Version)Pranjal Awasthi, Natalie S. Frank, Mehryar Mohri — 2021
Ultraproducts and the Foundations of Higher Order Fourier AnalysisE. Warner, Nicolas Templier — 2012
Study of Localization for Disordered Systems on Quantum GraphsMostafa Sabri — 2014

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