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Free loop

In the mathematical field of topology, a free loop is a variant of the notion of a loop. Whereas a loop has a distinguished point on it, called its basepoint, a free loop lacks such a distinguished point. Formally, let X {\displaystyle X} be a topological space. Then a free loop in X {\displaystyle X} is an equivalence class of continuous functions from…

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Free loop

Nodes17
Edges16
Triples1
Avg. degree1.88
Density0.117647
Components1

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Free loop

Top relations

is a · 1
Free loop → variant of the notion of a loop

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Important terminology

free loop space displaystyle circle topology loops psi fundamental group classes string mathematical homeomorphism path-connected homotopy homology birkhäuser field variant

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Free loopis avariant of the notion of a loop0.90text

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    Min side: 3
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