Category:Definitions/Loops (Topology)

This category contains definitions related to loops in the context of topology.
Related results can be found in Category:Loops (Topology).

Let $T = \struct {S, \tau}$ be a topological space.

Let $\gamma: \closedint 0 1 \to S$ be a path in $T$.

Let $\map \gamma 0 = \map \gamma 1$.

Then $\gamma$ is called a loop (in $T$).