Borel sets with -section
J. Bourgain (1980)
Fundamenta Mathematicae
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J. Bourgain (1980)
Fundamenta Mathematicae
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Petr Holický (1991)
Acta Universitatis Carolinae. Mathematica et Physica
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Pandelis Dodos (2004)
Fundamenta Mathematicae
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Let X be an abelian Polish group. For every analytic Haar-null set A ⊆ X let T(A) be the set of test measures of A. We show that T(A) is always dense and co-analytic in P(X). We prove that if A is compact then T(A) is dense, while if A is non-meager then T(A) is meager. We also strengthen a result of Solecki and we show that for every analytic Haar-null set A, there exists a Borel Haar-null set B ⊇ A such that T(A)∖ T(B) is meager. Finally, under Martin’s Axiom and the negation of...
John Burgess (1979)
Fundamenta Mathematicae
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Zdeněk Frolík (1963)
Czechoslovak Mathematical Journal
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Ashok Maitra, Victor Pestien, S. Ramakrishnan (1990)
Fundamenta Mathematicae
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