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A Nonmeasurable Set from Coin Flips

Alexander E. Holroyd, Terry Soo

math.PRarXiv:math/0610705

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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