[分析] curve(path) in R^n 沒有內點
想請問一下給一個R^n中的curve 定義在一個interval I,也就是說
f:I→R^n is continuous
then interior of f(I) must be empty ??
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這通常畫圖是對的 想請問一下有反例嗎??
我目前是證出"if f continuous and 1-1 on I, then interior of f(I) is empty"
謝謝!
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