The subset 
of the Euclidean plane formed by the union of
the x-axis, the line
segment with interval ![[0,1]](/images/equations/CombSpace/Inline2.svg)
of the y-axis, and the sequence of segments with
endpoints 
and 
for all positive integers 
.
With respect to the relative topology 
is pathwise-connected.
It is therefore connected, but not locally
pathwise-connected at any point of the open interval 
since each open disk centered at point one of these points
intersects 
in a union of parallel segments, forming a disconnected set.
