Sets with distinct sums of pairs, long arithmetic progressions, and continuous mappings
Classical Analysis and ODEs
2018-09-19 v2
Abstract
We show that if is a continuous mapping and the set of nonlinearity of has nonzero Lebesgue measure, then maps bijectively a certain set that contains arbitrarily long arithmetic progressions onto a certain set with distinct sums of pairs.
Keywords
Cite
@article{arxiv.1805.02254,
title = {Sets with distinct sums of pairs, long arithmetic progressions, and continuous mappings},
author = {Vladimir Lebedev},
journal= {arXiv preprint arXiv:1805.02254},
year = {2018}
}