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arXiv · 1409.1755

Building Cantor's Bijection

Samuel Nicolay·Laurent Simons
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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.

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Samuel Nicolay, Laurent Simons. 2014-08-28. Building Cantor's Bijection. https://arxiv.org/abs/1409.1755

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