Definition:Loop (Topology)/Base Point
< Definition:Loop (Topology)(Redirected from Definition:Base Point of Loop)
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Definition
Let $X$ be a topological space.
Let $\gamma: \closedint 0 1 \to X$ be a loop.
The base point of $\gamma$ is $\map \gamma 0$.
In other words, $\gamma$ is said to be based at $\map \gamma 0$.
Sources
- 2011: John M. Lee: Introduction to Topological Manifolds (2nd ed.) ... (previous) ... (next): $\S 7$: Homotopy and the Fundamental Group. Homotopy