Remote Access St. Petersburg Mathematical Journal

St. Petersburg Mathematical Journal

ISSN 1547-7371(online) ISSN 1061-0022(print)



Open map theorem for metric spaces

Author: A. Lytchak
Original publication: Algebra i Analiz, tom 17 (2005), nomer 3.
Journal: St. Petersburg Math. J. 17 (2006), 477-491
MSC (2000): Primary 53C20
Published electronically: March 9, 2006
MathSciNet review: 2167848
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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.

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Additional Information

A. Lytchak
Affiliation: Mathematisches Institut, Universität Bonn, Beringstr. 1, Bonn 53115, Germany

Keywords: Semiconvex functions, Aleksandrov spaces, differentials, gradient flow
Received by editor(s): April 5, 2004
Published electronically: March 9, 2006
Article copyright: © Copyright 2006 American Mathematical Society