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

Printable View

- Jan 7th 2010, 06:05 AMI-ThinkBijection
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 - Jan 7th 2010, 06:24 AMShanks
You have constructed a bijection between Z and 2Z, that is f(z)=2z.