Euclidean Topology II: Curves and Surfaces
Geometry of Euclidean Sets I: Vector, Topological, and Metric Aspects

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Euclidean Topology II: Curves and Surfaces


Geometry of Euclidean Sets I: Vector, Topological, and Metric Aspects

Author : Jean-Charles PINOLI

Publication date: May 10, 2026 | Lire en français

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5. Euclidean Topology II: Curves and Surfaces

5.1 Curves

Simply put, a curve is a subset of points in Euclidean space 22 or 23 (and more generally 2n ) on which it is possible to locate oneself locally using a single real coordinate, or a path along which a point moves continuously. It resembles a line segment that is continuously deformed. A curve in 22...

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