Volume 16, Issue 1 pp. 913-914
Section 25
Free Access

No large sets which can be translated away from every Marczewski null set

Jörg Brendle

Jörg Brendle

Graduate School of System Informatics, Kobe University, Rokko-Dai 1-1, Nada Kobe 657-8501, Japan

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Wolfgang Wohofsky

Corresponding Author

Wolfgang Wohofsky

Fachbereich Mathematik, Universität Hamburg, Bundesstraße 55, 20146 Hamburg, Germany

Fachbereich Mathematik, Universität Hamburg, Bundesstraße 55, 20146 Hamburg, Germany www.wohofsky.eu/math/Search for more papers by this author
First published: 25 October 2016

Abstract

There is no set of size continuum which is “s0-shiftable”, i. e., which can be translated away from every set in the Marczewski ideal s0 (where a set of reals is in s0 if for every perfect set there is a perfect subset disjoint from it). (© 2016 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)

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