Geodesic
Measure Convex and Measure Extremal Sets
Canadian mathematical bulletin, Tome 49 (2006) no. 4, pp. 536-548

Voir la notice de l'article provenant de la source Cambridge

DOI

We prove that convex sets are measure convex and extremal sets are measure extremal provided they are of low Borel complexity. We also present examples showing that the positive results cannot be strengthened.
DOI : 10.4153/CMB-2006-051-1
Mots-clés : 46A55, 52A07, measure convex set, measure extremal set, face 
Dostál, Petr; Lukeš, Jaroslav; Spurný, Jiří. Measure Convex and Measure Extremal Sets. Canadian mathematical bulletin, Tome 49 (2006) no. 4, pp. 536-548. doi: 10.4153/CMB-2006-051-1
@article{10_4153_CMB_2006_051_1,
     author = {Dost\'al, Petr and Luke\v{s}, Jaroslav and Spurn\'y, Ji\v{r}{\'\i}},
     title = {Measure {Convex} and {Measure} {Extremal} {Sets}},
     journal = {Canadian mathematical bulletin},
     pages = {536--548},
     year = {2006},
     volume = {49},
     number = {4},
     doi = {10.4153/CMB-2006-051-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-051-1/}
}
TY  - JOUR
AU  - Dostál, Petr
AU  - Lukeš, Jaroslav
AU  - Spurný, Jiří
TI  - Measure Convex and Measure Extremal Sets
JO  - Canadian mathematical bulletin
PY  - 2006
SP  - 536
EP  - 548
VL  - 49
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-051-1/
DO  - 10.4153/CMB-2006-051-1
ID  - 10_4153_CMB_2006_051_1
ER  - 
%0 Journal Article
%A Dostál, Petr
%A Lukeš, Jaroslav
%A Spurný, Jiří
%T Measure Convex and Measure Extremal Sets
%J Canadian mathematical bulletin
%D 2006
%P 536-548
%V 49
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-051-1/
%R 10.4153/CMB-2006-051-1
%F 10_4153_CMB_2006_051_1

Cité par Sources :