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Aronszajn null and Gaussian null sets coincide

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Abstract

We prove that in every separable Banach space the σ ideals of Aronszajn null sets, Gaussian null sets and cube null sets coincide.

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Authors and Affiliations

  1. Department of Analysis, Loránd Eötvös University, Múzem krt. 6-8, H-1088, Budapest, Hungary

    Marianna Csörnyei

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  1. Marianna Csörnyei
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Correspondence to Marianna Csörnyei.

Additional information

Research supported by the Hungarian National Foundation for Scientific Research Grant No. T019476 and FKFP Grant 0189/1997.

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Csörnyei, M. Aronszajn null and Gaussian null sets coincide. Isr. J. Math. 111, 191–201 (1999). https://doi.org/10.1007/BF02810684

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  • DOI: https://doi.org/10.1007/BF02810684

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