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arxiv: 1303.0655 · v1 · pith:P3Y7OGTZnew · submitted 2013-03-04 · 🧮 math.MG · math.DG

Locally Lipschitz contractibility of Alexandrov spaces and its applications

Ayato Mitsuishi , Takao Yamaguchi This is my paper
classification 🧮 math.MG math.DG
keywords alexandrovapplicationslipschitzlocallyspaceboundconditionconsidered
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We prove that any finite dimensional Alexandrov space with a lower curvature bound is locally Lipschitz contractible. As applications, we obtain a sufficient condition for solving the Plateau problem in an Alexandrov space considered by Mese and Zulkowski.

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