# Definition:Identification Topology/Identification Mapping

## Definition

Let $\left({S_1, \tau_1}\right)$ be a topological space.

Let $S_2$ be a set.

Let $f: S_1 \to S_2$ be a mapping.

The mapping $f: S_1 \to S_2$ in this context is called the identification mapping.

## Also known as

Some sources call $f$ the identification map while others call it the identification function. All roads lead to Rome.