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The term "loop" has a number of meanings in mathematics.
Most simply, a loop is a closed curve whose initial and final points coincide in a fixed point known as the basepoint. Formally, if is a topological space and , a loop is a continuous map
such that and .
A knot or hitch which holds its form rigidly is also called a loop (Owen 1993).
Other definitions appearing in particular area of mathematics include the algebraic loop and graph loop.
Owen, P. Knots. Philadelphia, PA: Courage, p. 35, 1993.
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