Remember - correct capitalisation, punctuation and spacing make posts much easier to read.
injective. Wikipadia says that the difference is that a one-to-one function is an injection and a one-to-one correspondence is a bijection. But I have never seen any book making such a distinction, and it doesn't really seem a good idea to me.
PS: It doesn't seem a good idea to me because it's ambiguous when someone says "f is one-to-one" without saying whether they mean "function" or "correspondence".