In mathematics,
a path in a topological space X is a continuous function f from the unit interval I = [0,1] to X
f : I → X.
The initial point of the path is f(0) and the terminal point is f(1).
One often speaks of a "path from x to y" where x and y are the initial and
terminal points of the path.
Note that a path is not just a subset of X which "looks like" a curve,
it also includes a parameterization.
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