Definition:Loop (Topology)/Set of All Loops
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Definition
Let $T$ be a topological space.
The set of all loops based at $p \in T$ is denoted by $\map \Omega {T, p}$.
Sources
- 2011: John M. Lee: Introduction to Topological Manifolds (2nd ed.) ... (previous) ... (next): $\S 7$: Homotopy and the Fundamental Group. Homotopy