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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

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In 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. –  Rasmus Sep 11 '11 at 15:01
See this math.SE question. –  Zev Chonoles Sep 11 '11 at 17:50

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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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