Building Cantor's Bijection
History and Overview
2014-09-08 v1
Abstract
Cantor's first idea to build a one-to-one mapping from the unit interval to the unit square did not work since, as pointed out by Dedekind, the so-obtained function is not surjective. Here, we start from this function and modify it (on a negligible set) in order to obtain the desired result: a one-to-one correspondance between the unit interval and the unit square.
Cite
@article{arxiv.1409.1755,
title = {Building Cantor's Bijection},
author = {Samuel Nicolay and Laurent Simons},
journal= {arXiv preprint arXiv:1409.1755},
year = {2014}
}
Comments
5 pages