The mountain climbers' problem
Author: Tamás Keleti
Journal: Proc. Amer. Math. Soc. 117 (1993), 89-97
MSC: Primary 26A12; Secondary 26A15, 26A48
MathSciNet review: 1123655
Abstract: We show that two climbers can climb a mountain in such a way that at each moment they are at the same height above the sea level, supposing that the mountain has no plateau. That is, if and are continuous functions mapping to with and , and if neither nor has an interval of constancy then there exist continuous functions and satisfying , and .
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