Local path connectedness

1. Nov 15, 2009

jojo12345

Is there a space that is path connected but NOT locally path connected? I suspect that there must be some example because the theorem on the classification of covering spaces only applies to spaces that are, amongst other things, path connected and locally path connected.

2. Nov 15, 2009

andlook

3. Nov 15, 2009

jojo12345

Thanks a lot!