Uniformly antisymmetric function with bounded range
Logic
2016-09-07 v1
Abstract
The goal of this note is to construct a uniformly antisymmetric function f:R-> R with a bounded countable range. This answers Problem 1(b) of Ciesielski and Larson. (See also list of problems in Thomson and Problem 2(b) from Ciesielski's survey.) A problem of existence of uniformly antisymmetric function f:R-> R with finite range remains open.
Cite
@article{arxiv.math/9805151,
title = {Uniformly antisymmetric function with bounded range},
author = {Krzysztof Ciesielski and Saharon Shelah},
journal= {arXiv preprint arXiv:math/9805151},
year = {2016}
}