Saturday, May 5, 2018

functions - Bijection between sets and complements

Suppose $f: A\rightarrow B$ is a bijection. For $A,B \subseteq C$. Show that a bijective map $h: C\setminus A \rightarrow C\setminus B$ exists.



I'm not sure how to proceed, may I have a hint please?

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analysis - Injection, making bijection

I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...