Thread: Connected sets

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

Originally Posted by felixmcgrady

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.