Definition:Injection/Also known as

Injection
Authors who prefer to limit the jargon of mathematics tend to use the term:
 * one-one (or 1-1) or one-to-one for injective
 * one-one mapping or one-to-one mapping for injection.

However, because of the possible confusion with the term one-to-one correspondence, it is standard on for the technical term injection to be used instead.

's idiosyncratic of $1959$ refers to such a mapping as biuniform.

This is confusing, because a casual reader may conflate this with the definition of a bijection, which in that text is not explicitly defined at all.

An injective mapping is sometimes written:
 * $f: S \rightarrowtail T$ or $f: S \hookrightarrow T$

In the context of class theory, an injection is often seen referred to as a class injection.