Surjective Fuction (1 Viewer)

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d_b

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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.
 

d_b

36
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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.
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
 
141
1
Right. By definition, it can't be a function. It would mean that point in A would have two images, which is forbidden.
 

matt grime

Science Advisor
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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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