Definition talk:Path-Connected

There is some ambiguity in the definition for subsets. The first statement says there just has to be a path, while the second imposes (by the codomain of the path) that there must be a path inside $U$. I presume the latter is desired, but I'd rather hear some more opinions. --Lord_Farin 06:56, 7 November 2011 (CST)
 * You're right, that was a bit of a mess. Hopefully what I've replaced it with makes a little more sense. If not, feel free to amend. --prime mover 09:51, 7 November 2011 (CST)
 * All is fine now. Thanks --Lord_Farin 10:02, 7 November 2011 (CST)