TITLE: Is there a topological space which is simply connected but not local path connected
QUESTION [8 upvotes]: Is there a topological space which is simply connected but not local path connected?
I think these two properties have no relation at all but I can't find a example.

REPLY [6 votes]: quasi-circle would be another useful counter example, this is not locally path connected. See here ex1.3.7  that it is simple connected (http://www.math.ku.dk/~moller/f03/algtop/opg/S1.3.pdf) .