# Definition:Path (Topology)/Initial Point

## Definition

Let $T$ be a topological space.

Let $I \subset \R$ be the closed real interval $\closedint a b$.

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

The initial point of $\gamma$ is $\map \gamma a$.

That is, the path starts (or begins) at $\map \gamma a$.