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Smoothing 3-dimensional polyhedral spaces

Vsevolod ShevchishinFriedrich Schiller University JenaAnton PetruninAmerican Institute of Mathematical Sciences Steklov Institute , St. Petersburg , Russia. Mathematical Department of St. Pe-Vladimir S. MatveevFriedrich-Schiller University JenaNina LebedevaRAS - Steklov Mathematical Institute
2015en
ABI

Annotatsiya

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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