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Math Help - Bijection

  1. #1
    Senior Member I-Think's Avatar
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    Bijection

    Is there a bijection from Z(the set of integers) to A(the set of even integers)?

    Ans
    I would say yes

    Z: ... -3 -2 -1 0 1 2 3 ...
    A: ... -6 -4 -2 0 2 4 6 ...

    As every element is matched and it is one-one, I say yes.
    Just looking for verification
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  2. #2
    Senior Member Shanks's Avatar
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    You have constructed a bijection between Z and 2Z, that is f(z)=2z.
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