• Title/Summary/Keyword: Gromov-Hausdorff convergence

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On the gromov-havsdorff convergence of geodesics

  • Kim, Young-Wook
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.189-193
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    • 1998

  • 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.

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