Uncountable sets and an infinite real number game
Abstract
We give a short proof of the wellknown fact that the unit interval [0,1] is uncountable by means of a simple infinite game. We also show using this game that a (nonempty) perfect subset of [0,1] must be uncountable.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 June 2006
 arXiv:
 arXiv:math/0606253
 Bibcode:
 2006math......6253B
 Keywords:

 Mathematics  History and Overview;
 Mathematics  General Topology
 EPrint:
 7 pages