# Brouwer fixed-point theorem

[brou-er fikst-point]

- the theorem that for any continuous transformation of a circle into itself, including its boundary, there is at least one point that is mapped to itself.

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## Origin of Brouwer fixed-point theorem^{}

named after L. E. J. Brouwer

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018