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].

See also


This entry contributed by John Renze

Explore with Wolfram|Alpha

Cite this as:

Renze, John. "Trivial Loop." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

Subject classifications