Does one-to-one always refer to injective function or can it also refer to bijective or something else?
Does "one-to-one" always refer to injective?
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1Some authors use it also for bijecton, but traditoonally one-to-one and onto is a bijection. – 2017-02-16
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A quote from Wolfram Mathworld: A map is called "one-to-one" (or "1:1") if it is injective. However, being in "one-to-one correspondence" is synonymous with being a bijection. Unfortunately, this confusing terminology is widely used throughout the literature.