Could someone explain, what's the difference between "Connected", and "Pathwise Connected" ?

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- Oct 25th 2009, 04:28 PMfelixmcgradyConnected sets
Could someone explain, what's the difference between "Connected", and "Pathwise Connected" ?

- Oct 25th 2009, 04:36 PMaliceinwonderland
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.