Saturday, January 12, 2019

elementary set theory - How to Prove $mathbb Rtimes mathbb R sim mathbb R$?

How to prove $\mathbb R\times \mathbb R \sim \mathbb R$?



I know you have to split the problem up into two claims, for each direction to prove that it is a bijection, but i don't know how to go much further than that...

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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...