Continuous images of sets of reals
Logic
2007-05-23 v2
Abstract
We will show that, consistently, every uncountable set can be continuously mapped onto a non measure zero set, while there exists an uncountable set whose all continuous images into a Polish space are meager.
Cite
@article{arxiv.math/0001051,
title = {Continuous images of sets of reals},
author = {Tomek Bartoszynski and Saharon Shelah},
journal= {arXiv preprint arXiv:math/0001051},
year = {2007}
}