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[函数] 每个点移动的距离小于 1 则是滿射

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hbghlyj posted 2025-1-20 20:44 |Read mode

连续映射 $f:\mathbb R^n→\mathbb R^n$，$f(x)$到$x$的距離總是小於1，如何证明$f$是滿射

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original poster hbghlyj posted 2025-1-20 20:58

连续映射 $f,g:\mathbb R^n→\mathbb R^n$，$g$是滿射，$f(x)$到$g(x)$的距離總是小於1，如何证明$f$是滿射

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