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arxiv: 1411.0307 · v4 · pith:IHYI26GVnew · submitted 2014-11-02 · 🧮 math.DG · math.MG

Smoothing 3-dimensional polyhedral spaces

classification 🧮 math.DG math.MG
keywords dimensionalmanifoldspolyhedralalexandrovapproximatedcurvaturecurvednonnegative
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We show that 3-dimensional polyhedral manifolds with nonnegative curvature in the sense of Alexandrov can be approximated by nonnegatively curved 3-dimensional Riemannian manifolds.

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