[分析] Is there a continuous ONTO function?

[Rapiers (*.*)]

f is a continuous function, and f: Q --> R-Q, where Q is rational numbers.

Can f be a "onto" function?

請高手給一點提示
被這個看似簡單的題目困住好久了..


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推 cgkm:你的意思是不是 "f:Ｒ→Ｒ is continuous and the image
→ cgkm:                of f on Ｑ is contained in Ｒ-Ｑ"?
→ Rapiers:不..f is a mapping from rationals to irrationals
→ Rapiers:Do you have any idea?
→ Rapiers:ㄛ..你說得對..不好意思看錯你的意思