Bulletin of the
Korean Mathematical Society BKMS

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