A simple path is a path which is a simple curve. More precisely, a continuous mapping ![gamma:[a,b]->C^0](/images/equations/SimplePath/Inline1.svg)
is a simple path
if it has no self-intersections. Here, 
denotes the space of continuous functions.
Simple Path
See also
Closed Curve, Path, Simple Curve, Smooth CurveThis entry contributed by Christopher Stover
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Cite this as:
Stover, Christopher. "Simple Path." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/SimplePath.html