Alexander Lytchak
Abstract
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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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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.
Key concepts: Mathematics, Metric map, Metric space, Fréchet space, Injective metric space, Class (philosophy), Uniform continuity, Convex metric space