Universal entire functions that define order isomorphisms of countable real sets
Complex Variables
2018-12-27 v2
Abstract
In 1895, Cantor showed that between every two countable dense real sets, there is an order isomorphism. In fact, there is always such an order isomorphism, which is the restriction of a universal entire function.
Cite
@article{arxiv.1807.02770,
title = {Universal entire functions that define order isomorphisms of countable real sets},
author = {Paul M. Gauthier},
journal= {arXiv preprint arXiv:1807.02770},
year = {2018}
}