Space which is path connected but not locally path connected

Question

Can you give an example of a topological space which is path connected but not locally path connected, besides the graph of $\sin(1/x)$?

Answer 1

An example is the comb space,

which is $(\{0\}\times[0,1])\cup(K\times[0,1])\cup([0,1]\times\{0\}),$ where $K=\{\frac1n\mid n\in\mathbb N\}$,

with the subspace topology in $\mathbb R^2$.