A simple path in a topological space 
is a continuous mapping ![gamma:[a,b]->X](/images/equations/SimplePath/Inline2.svg)
that is injective.
Equivalently, it is a path with no self-intersections.
Simple Path
See also
Closed Curve, Path, Simple Curve, Smooth CurvePortions of this entry contributed by Christopher Stover
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Cite this as:
Weisstein, Eric W., with contributions by Christopher Stover. "Simple Path." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SimplePath.html