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Abstract. This is an addendum to the recent Cambridge Tract Harmonic maps between Riemannian polyhedra, by J. Eells and the present author. Hlder continuity of locally energy minimizing maps from an admissible Riemannian polyhedron X to a complete geodesic space Y is established here in two cases: (1) Y is simply connected and has curvature (in the sense of A.D. Alexandrov), or (2) Y...
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