The trivial loop is the loop that takes every point to its basepoint. Formally, if is a topological space and , the trivial loop based at is the map given by for all .

# Trivial Loop

## See also

Loop
*This entry contributed by John Renze*

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## Cite this as:

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