Path in a space
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Revision 1180
8/11/2026, 12:55:20 PM · Ancient Tree
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A path in a [[Topological space|topological space]] $X$ is a [[Continuous map|continuous map]]2
$$\gamma:[0,1]\rightarrow X.$$3
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##### Remarks5
- $\gamma(0)$ and $\gamma(1)$ are called the endpoints of $\gamma$.6
- If $\gamma(0)=\gamma(1)$, $\gamma$ is called a [[loop|loop]].Revision 1177
8/11/2026, 12:47:59 PM · Ancient Tree
Concept created
A path in a [[Topological space|topological space]] $X$ is a [[Continuous map|continuous map]] $$\gamma:[0,1]\rightarrow X.$$