Uncountable sets and an infinite real number game
History and Overview
2007-05-23 v1 General Topology
Abstract
We give a short proof of the well-known fact that the unit interval [0,1] is uncountable by means of a simple infinite game. We also show using this game that a (non-empty) perfect subset of [0,1] must be uncountable.
Cite
@article{arxiv.math/0606253,
title = {Uncountable sets and an infinite real number game},
author = {Matthew Baker},
journal= {arXiv preprint arXiv:math/0606253},
year = {2007}
}
Comments
7 pages