Definition:Path (Topology)/Composable Paths

Definition

Let $T$ be a topological space.

Let $f, g: \closedint 0 1 \to T$ be paths.

$f$ and $g$ are said to be composable paths if:

$\map f 1 = \map g 0$.

Sources

• 2011: John M. Lee: Introduction to Topological Manifolds (2nd ed.) ... (previous) ... (next): $\S 7$: Homotopy and the Fundamental Group. Homotopy