Ivan Shishkin, Birch Grove

Path-connected space

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8/11/2026, 12:51:58 PM · Ancient Tree

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A [[Topological space|topological space]] is path-connected if for every pair $x,y\in X$, there is a [[Path in a space|path]] $\gamma:[0,1]\rightarrow X$ whose endpoints are $x$ and $y$.