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20162025
most citedResults on the homotopy type of the spaces of locally convex curves on

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math.GT2016★ 3 cited

Topology of the space of locally convex curves on the 3-sphere

Emília Alves

A (positive) locally convex curve in the 2-sphere is a curve with positive geodesic curvature (i.e., which always turns left). In the 3-sphere, it is a curve with positive torsion.…