Matematičeskie zametki, Tome 22 (1977) no. 6, pp. 897-906
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N. N. Makarov. Continuous selector of representative measures and the space of faces of a convex compactum. Matematičeskie zametki, Tome 22 (1977) no. 6, pp. 897-906. http://geodesic.mathdoc.fr/item/MZM_1977_22_6_a10/
@article{MZM_1977_22_6_a10,
author = {N. N. Makarov},
title = {Continuous selector of representative measures and the space of faces of a~convex compactum},
journal = {Matemati\v{c}eskie zametki},
pages = {897--906},
year = {1977},
volume = {22},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_6_a10/}
}
TY - JOUR
AU - N. N. Makarov
TI - Continuous selector of representative measures and the space of faces of a convex compactum
JO - Matematičeskie zametki
PY - 1977
SP - 897
EP - 906
VL - 22
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1977_22_6_a10/
LA - ru
ID - MZM_1977_22_6_a10
ER -
%0 Journal Article
%A N. N. Makarov
%T Continuous selector of representative measures and the space of faces of a convex compactum
%J Matematičeskie zametki
%D 1977
%P 897-906
%V 22
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1977_22_6_a10/
%G ru
%F MZM_1977_22_6_a10
A sufficient condition for the existence of a continuous selector of representative measure, concentrated at the extreme points of a convex metrizable compactum, is considered. A necessary condition for the existence of such a selector is deduced. An example is given of a convex compactum with a closed set of extreme points, for which no continuous selector exists.
