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A Nonmeasurable Set from Coin Flips

Probability 2009-07-16 v2 General Mathematics

Abstract

In this note we give an example of a nonmeasurable set in the probability space for an infinite sequence of coin flips. The example arises naturally from the notion of an equivariant function, and serves as a pedagogical illustration of the need for measure theory.

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Cite

@article{arxiv.math/0610705,
  title  = {A Nonmeasurable Set from Coin Flips},
  author = {Alexander E. Holroyd and Terry Soo},
  journal= {arXiv preprint arXiv:math/0610705},
  year   = {2009}
}

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4 pages