Strongly meager sets can be quite big

Details Strongly meager sets can be quite big Strongly meager sets can be quite big

2001-11-27

arxiv.org/abs/math/0111284v1

Mathematics

Logic

Scientific paper

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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