Locally Lipschitz contractibility Of Alexandrov spaces and its applications

Ayato Mitsuishi, Takao Yamaguchi

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


We prove that any finite-dimensional Alexandrov space with a lower curvature bound is locally Lipschitz contractible. As an application, we obtain a sufficient condition for solving the Plateau problem in an Alexandrov space, as considered by Mese and Zulkowski.

Original languageEnglish
Pages (from-to)393-421
Number of pages29
JournalPacific Journal of Mathematics
Issue number2
Publication statusPublished - 2014


  • Alexandrov space
  • Lipschitz contractibility

ASJC Scopus subject areas

  • Mathematics(all)


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