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Definition: Curves In the Multidimensional Space \(\mathbb R^n\)

Let \(I\subset \mathbb R\) be a real interval. A curve in the multidimensional metric space \(\mathbb R^n\) is a continuous function. . \[f:I\to\mathbb R^n.\]

Table of Contents

1. Definition: Jordan Arc (Simple Curve)
2. Definition: Closed Curve, Open Curve

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Definitions: 1 2 3 4

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References

Bibliography

1. Forster Otto: "Analysis 2, Differentialrechnung im \(\mathbb R^n\), Gewöhnliche Differentialgleichungen", Vieweg Studium, 1984