# Definition:Path (Topology)/Final Point

## Definition

Let $T$ be a topological space.

Let $I \subset \R$ be the closed real interval $\left[{a \,.\,.\, b}\right]$.

Let $\gamma: I \to T$ be a path in $T$.

The final point of $\gamma$ is $\gamma \left({b}\right)$.

That is, the path ends (or finishes) at $\gamma \left({b}\right)$.