I am confused in the difference between one to one function and one to one correspondence. Please help me out to distinguish between the two. Thanks
Difference between one to one function and one to one correspondence
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functions
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0In the case of your previous question it's the same. In general, a function is always defined on a set. A one to one correspondence can also be given for objects in [classes](http://en.wikipedia.org/wiki/Class_%28mathematics%29). – 2011-09-11
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2See [this math.SE question](http://math.stackexchange.com/questions/63154/how-did-one-to-one-come-to-mean-injective). – 2011-09-11
2 Answers
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I would say (hand waveingly) a one to one function is a mapping from A to B that puts A & B into one-to-one correspondence with each other, for one to one and function as defined in your previous questions.
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a one to one function can be injective or bijective but a one to one correspondence can only be bijective