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- W2091223869 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 $f$ and $g$ are continuous functions mapping $[0,1]$ to $[0,1]$ with $f(0) = g(0) = 0$ and $f(1) = g(1) = 1$, and if neither $f$ nor $g$ has an interval of constancy then there exist continuous functions $k$ and $h:[0,1] to [0,1]$ satisfying $k(0) = h(0) = 0,;k(1) = h(1) = 1$, and $f circ k = g circ h$." @default.
- W2091223869 created "2016-06-24" @default.
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- W2091223869 date "1993-01-01" @default.
- W2091223869 modified "2023-10-17" @default.
- W2091223869 title "The mountain climbers’ problem" @default.
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- W2091223869 doi "https://doi.org/10.1090/s0002-9939-1993-1123655-1" @default.
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