Wild arc

In 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. Antoine (1920) found the first example of a wild arc, and Fox & Artin (1948) found another example called the Fox-Artin arc whose complement is not simply connected.

This article is about a mathematical object. For animal rehabilitation, see Wild Animal Rehabilitation Center.
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