Wild arc
Introduction The Fox–Artin wild arc lying in  drawn as a 400pxIn geometric topology, a '''wild arc''' is an embedding of the unit interval into 3-dimensional space not equivalent to the usual one in the sense that there does not exist an ambient isotopy taking the arc to a straight line segment. found the first example of a wild arc,  and  found another example called the '''Fox-Artin arc''' whose complement is not simply connected.
See also *Wild knot*Horned sphere
Further reading **** *