On the Gromov-Hausdorff convergence of geodesics
Bull. Korean Math. Soc. 1998 Vol. 35, No. 1, 189-193
Young Wook Kim
Korea University
Abstract : In this paper we construct a sequence of spaces which has Gromov-Hausdorff limit such that a geodesic in the limit space is not realized as a limit of geodesics in the spaces of the sequence. This contrasts with the result of Grove and Petersen in [1] where they proved otherwise for Alexandrov spaces with common curvature bounds.
Keywords : geodesic, Gromov-Hausdorff convergence
MSC numbers : 53C22
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