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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a one to one function can be injective or bijective but a one to one correspondence can only be bijective
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.