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Definition 65

[0RG]A topological space \((X,𝜏)\) is ”path connected” if, for every \(x,y∈ X\), there is a continuous arc \(𝛾:[a,b]→ X\) with \(x=𝛾(a),y=𝛾(b)\).

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  • path connected set
  • set, path connected
  • metric space
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