Strongly meager sets can be quite big
逻辑
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0111284,
title = {Strongly meager sets can be quite big},
author = {Tomek Bartoszynski and Andrzej Nowik and Tomasz Weiss},
journal= {arXiv preprint arXiv:math/0111284},
year = {2007}
}