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  where they proved otherwise for Alexandrov spaces with common curvature bounds.