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تسجيل

Loop

المؤلف:  Owen, P. Knots.

المصدر:  Philadelphia, PA: Courage

الجزء والصفحة:  p. 35

26-4-2022

1925

Loop

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.

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REFERENCES

Owen, P. Knots. Philadelphia, PA: Courage, p. 35, 1993.