Trivial Loop

The trivial loop is the loop that takes every point to its basepoint. Formally, if X is a topological space and x in X, the trivial loop based at x is the map L:[0,1]->X given by L(z)=x for all z in [0,1].

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This entry contributed by John Renze

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Renze, John. "Trivial Loop." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/TrivialLoop.html

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