Definition:Singular Simplex

Definition

Let $T$ be a topological space.

Let $\Delta_n$ be the standard $n$-simplex.

Then, a singular $n$-simplex in $T$ is a continuous mapping $\phi : \Delta_n \to T$.

Sources

• 2001: Allen Hatcher: Algebraic Topology: $2.1$ Simplical and Singular Homology