Surjective Function: A to B Mapping

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For a sirjective function from A--> B, I was just wondering if more than one elements in B can point to the same element in A if the function is surjective.
 
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d_b said:
For a sirjective function from A--> B, I was just wondering if more than one elements in B can point to the same element in A if the function is surjective.

if I'm not wrong it can't follow because its not a function...I just want to make sure if I got it right
 
Right. By definition, it can't be a function. It would mean that point in A would have two images, which is forbidden.
 
Just a couple of points to clarify. If you write the arrow from A to B that means the domain of f is A and the range of f is a subset of B. Elements in B don't point to elements in A. And it's spelt surjective.
 
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