English

A note on duality between measure and category

Logic 2007-05-23 v1

Abstract

A bijection from R to R is called an Erdos-Sierpinski mapping if it maps meager sets onto the first category sets and vice versa. We show that there is no Erdos-Sierpinski mapping preserving addition.

Cite

@article{arxiv.math/9904067,
  title  = {A note on duality between measure and category},
  author = {Tomek Bartoszynski},
  journal= {arXiv preprint arXiv:math/9904067},
  year   = {2007}
}