knotted sphere

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• Knot theory — A three dimensional depiction of a thickened trefoil knot, the simplest non trivial knot …   Wikipedia

• Knot (mathematics) — A table of all prime knots with seven crossings or fewer (not including mirror images). In mathematics, a knot is an embedding of a circle in 3 dimensional Euclidean space, R3, considered up to continuous deformations (isotopies). A crucial… …   Wikipedia

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• Jordan–Schönflies theorem — In mathematics, the Jordan–Schönflies theorem, or simply the Schönflies theorem, of geometric topology is a sharpening of the Jordan curve theorem.FormulationIt states that not only does every simple closed curve in the plane separate the plane… …   Wikipedia

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