We provide a corrected proof of [1, Théorème 9] stating that any metrizable infinite-dimensional simplex is affinely homeomorphic to the intersection of a decreasing sequence of Bauer simplices.
Nous exposons une démonstration rectifiée de [1, Théorème 9], montrant ainsi que tout simplexe de Choquet métrisable et de dimension infinie se représente comme intersection d'une suite décroissante de simplexes de Bauer.
Keywords: simplex, Bauer simplex, intersection, representing matrix
@article{BSMF_2011__139_1_89_0, author = {Edwards, David A. and Kalenda, Ond\v{r}ej F. K. and Spurn\'y, Ji\v{r}{\'\i}}, title = {A note on intersections of simplices}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {89--95}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {139}, number = {1}, year = {2011}, doi = {10.24033/bsmf.2601}, zbl = {1227.46011}, mrnumber = {2815029}, language = {en}, url = {http://www.numdam.org/articles/10.24033/bsmf.2601/} }
TY - JOUR AU - Edwards, David A. AU - Kalenda, Ondřej F. K. AU - Spurný, Jiří TI - A note on intersections of simplices JO - Bulletin de la Société Mathématique de France PY - 2011 DA - 2011/// SP - 89 EP - 95 VL - 139 IS - 1 PB - Société mathématique de France UR - http://www.numdam.org/articles/10.24033/bsmf.2601/ UR - https://zbmath.org/?q=an%3A1227.46011 UR - https://www.ams.org/mathscinet-getitem?mr=2815029 UR - https://doi.org/10.24033/bsmf.2601 DO - 10.24033/bsmf.2601 LA - en ID - BSMF_2011__139_1_89_0 ER -
%0 Journal Article %A Edwards, David A. %A Kalenda, Ondřej F. K. %A Spurný, Jiří %T A note on intersections of simplices %J Bulletin de la Société Mathématique de France %D 2011 %P 89-95 %V 139 %N 1 %I Société mathématique de France %U https://doi.org/10.24033/bsmf.2601 %R 10.24033/bsmf.2601 %G en %F BSMF_2011__139_1_89_0
Edwards, David A.; Kalenda, Ondřej F. K.; Spurný, Jiří. A note on intersections of simplices. Bulletin de la Société Mathématique de France, Volume 139 (2011) no. 1, pp. 89-95. doi : 10.24033/bsmf.2601. http://www.numdam.org/articles/10.24033/bsmf.2601/
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