Titlebook: Metric Structures for Riemannian and Non-Riemannian Spaces; Mikhail Gromov Book 2007 Birkhäuser Boston 2007 Algebraic topology.Homotopy.Ma

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minimal

978-0-8176-4582-3Birkhäuser Boston 2007

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Degree and Dilatation,Throughout this chapter, . and . will denote connected, oriented, . manifolds having the same dimension .. Additionally, . is assumed to be compact and without boundary.

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Manifolds with Bounded Ricci Curvature,In this chapter, we consider locally compact, pointed path metric spaces and the metric space structure on the collection of such spaces defined by the Hausdorff distance (or, more precisely, the uniform structure on this set defined by the family of Hausdorff distances on the balls of radius .).

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