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

Research Papers

Open map theorem for metric spaces

A. Lytchak

Mathematisches Institut, Universität Bonn, Germany
Full-text PDF (1200 kB) Citations (41)
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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.
Keywords: semi-convex functions, Aleksandrov spaces, differentials, gradient flow.
Received: 05.04.2004
English version:
St. Petersburg Mathematical Journal, 2006, Volume 17, Issue 3, Pages 477–491
DOI: https://doi.org/10.1090/S1061-0022-06-00916-2
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. Lytchak, “Open map theorem for metric spaces”, Algebra i Analiz, 17:3 (2005), 139–159; St. Petersburg Math. J., 17:3 (2006), 477–491
Citation in format AMSBIB
\Bibitem{Lyt05}
\by A.~Lytchak
\paper Open map theorem for metric spaces
\jour Algebra i Analiz
\yr 2005
\vol 17
\issue 3
\pages 139--159
\mathnet{http://mi.mathnet.ru/aa673}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2167848}
\zmath{https://zbmath.org/?q=an:1152.53033}
\elib{https://elibrary.ru/item.asp?id=9175121}
\transl
\jour St. Petersburg Math. J.
\yr 2006
\vol 17
\issue 3
\pages 477--491
\crossref{https://doi.org/10.1090/S1061-0022-06-00916-2}
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    • This publication is cited in the following 41 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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