Journal of Symbolic Logic

The fan theorem and unique existence of maxima

Josef Berger, Douglas Bridges, and Peter Schuster

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The existence and uniqueness of a maximum point for a continuous real—valued function on a metric space are investigated constructively. In particular, it is shown, in the spirit of reverse mathematics, that a natural unique existence theorem is equivalent to the fan theorem.

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J. Symbolic Logic, Volume 71, Issue 2 (2006), 713-720.

First available in Project Euclid: 2 May 2006

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Berger, Josef; Bridges, Douglas; Schuster, Peter. The fan theorem and unique existence of maxima. J. Symbolic Logic 71 (2006), no. 2, 713--720. doi:10.2178/jsl/1146620167.

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