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JOURNALS // Algebra i Analiz // Archive
Algebra i Analiz, 2005 Volume 17, Issue 3, Pages 139–159 (Mi aa673)
This article is cited in 41 papers

Research Papers

Open map theorem for metric spaces

A. Lytchak

Mathematisches Institut, Universität Bonn, Germany

Abstract: An open map theorem for metric spaces is proved and some applications are discussed. The result on the existence of gradient flows of semiconcave functions is generalized to a large class of spaces.

Keywords: semi-convex functions, Aleksandrov spaces, differentials, gradient flow.

Received: 05.04.2004

Language: English


 English version: St. Petersburg Mathematical Journal, 2006, 17:3, 477–491

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