Path

A path  is a continuous mapping , where  is the initial point,  is the final point, and  denotes the space of continuous functions. The notation for a path parametrized by  is commonly denoted .

A graph path is a sequence  such that , , ...,  are graph edges of the graph and the  are distinct.

A path in a topological space  is a continuous map . Often the name path is given to the image of .