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MR2090854 53C20 (53C21)
Kosovskiĭ, N. N. Gluing with branching of Riemannian manifolds of curvature $\leq \kappa$. (Russian) Algebra i Analiz 16 (2004), no. 4, 132--145; translation in St. Petersburg Math. J. 16 (2005), no. 4, 703–711
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