Strongly meager sets can be quite big

Tomek Bartoszynski; Andrzej Nowik; Tomasz Weiss

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Strongly meager sets can be quite big

Tomek Bartoszynski·Andrzej Nowik·Tomasz Weiss

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Abstract

The paper contains two results pointing to the lack of symmetry between measure and category. Assume CH. There exists a strongly meager subset of the Cantor set that can be mapped onto the Cantor set by a uniformly continuous function. (It is well known that uniformly continuous image of a strongly null set is strongly null). A ZFC version of this result is also given.

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BibTeX RIS

Tomek Bartoszynski, Andrzej Nowik, Tomasz Weiss. 2001-11-27. Strongly meager sets can be quite big. https://arxiv.org/abs/math/0111284

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