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A CHARACTERIZATION OF CONVEXITY-PRESERVING MAPS FROM A SUBSET OF A VECTOR SPACE INTO ANOTHER VECTOR SPACE
Published online by Cambridge University Press: 24 August 2001
Abstract
Let V and X be Hausdorff, locally convex, real, topological vector spaces with dim V > 1. It is shown that a map σ from an open, connected subset of V onto an open subset of X is homeomorphic and convexity-preserving if and only if σ is projective.
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- The London Mathematical Society 2001
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