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Math Help - Connected sets

  1. #1
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    Connected sets

    Could someone explain, what's the difference between "Connected", and "Pathwise Connected" ?
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  2. #2
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    Quote Originally Posted by felixmcgrady View Post
    Could someone explain, what's the difference between "Connected", and "Pathwise Connected" ?
    Every path-connected space is connected, but it is not necesarily true that every connected space is path-connected.

    A topologist's sine curve is a good example that is connected but not path-connected.
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