Path (topology)

In topology, a **path** is a concept that describes a continuous function from the closed interval \([0, 1]\) into a topological space \(X\). More formally, a path can be defined as follows: A function \(f: [0, 1] \to X\) is called a path in \(X\) if it satisfies the following conditions: 1. **Continuity**: The function \(f\) is continuous.