Ka. Ariyawansa et al., A characterization of convexity-preserving maps from a subset of a vector space into another vector space, J LOND MATH, 64, 2001, pp. 179-190
Citations number
13
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
Let V and X be Hausdorff, locally convex, real, topological vector spaces w
ith dim V > 1. It is shown that a map a from an open, connected subset of V
onto an open subset of X is homeomorphic and convexity-preserving if and o
nly if a is projective.