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Open map theorem for metric spaces
Author(s):
A.
Lytchak
Original publication:
Algebra i Analiz,
tom 17
(2005),
vypusk 3.
Journal:
St. Petersburg Math. J.
17
(2006),
477-491.
MSC (2000):
Primary 53C20
Posted:
March 9, 2006
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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.
References:
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Additional Information:
A.
Lytchak
Affiliation:
Mathematisches Institut, Universität Bonn, Beringstr. 1, Bonn 53115, Germany
Email:
lytchak@math.uni-bonn.de
DOI:
10.1090/S1061-0022-06-00916-2
PII:
S 1061-0022(06)00916-2
Keywords:
Semiconvex functions,
Aleksandrov spaces,
differentials,
gradient flow
Received by editor(s):
5/APR/2004
Posted:
March 9, 2006
Copyright of article:
Copyright
2006,
American Mathematical Society
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