Journal of convex analysis, Tome 8 (2001) no. 1, pp. 255-268
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D. Pumplün. The Universal Compactification of Topological Convex Sets and Modules. Journal of convex analysis, Tome 8 (2001) no. 1, pp. 255-268. http://geodesic.mathdoc.fr/item/JCA_2001_8_1_JCA_2001_8_1_a11/
@article{JCA_2001_8_1_JCA_2001_8_1_a11,
author = {D. Pumpl\"un},
title = {The {Universal} {Compactification} of {Topological} {Convex} {Sets} and {Modules}},
journal = {Journal of convex analysis},
pages = {255--268},
year = {2001},
volume = {8},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JCA_2001_8_1_JCA_2001_8_1_a11/}
}
TY - JOUR
AU - D. Pumplün
TI - The Universal Compactification of Topological Convex Sets and Modules
JO - Journal of convex analysis
PY - 2001
SP - 255
EP - 268
VL - 8
IS - 1
UR - http://geodesic.mathdoc.fr/item/JCA_2001_8_1_JCA_2001_8_1_a11/
ID - JCA_2001_8_1_JCA_2001_8_1_a11
ER -
%0 Journal Article
%A D. Pumplün
%T The Universal Compactification of Topological Convex Sets and Modules
%J Journal of convex analysis
%D 2001
%P 255-268
%V 8
%N 1
%U http://geodesic.mathdoc.fr/item/JCA_2001_8_1_JCA_2001_8_1_a11/
%F JCA_2001_8_1_JCA_2001_8_1_a11
A topological convex set is a convex set in a topological linear space with the induced topology. There is a universal continuous affine mapping of such a set into a compact convex subset of a locally convex linear space. Actually this compactification is a subset of a base normed Saks space. The results also hold for topological convex modules.
