EDB — 0JT

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Definition 17

[0JT] Given \(x∈ X\), we will say that the connected component of \(X\) containing \(x\) is the union of all the connected sets that contain \(x\) (note that the singleton \(\{ x\} \) is connected). The previous exercise [0JQ] shows that the connected component is connected.

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  • space, topological
  • topological space
  • connected component
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