The Poulsen simplex

@article{Lindenstrauss1978,
abstract = {It is proved that there is a unique metrizable simplex $S$ whose extreme points are dense. This simplex is homogeneous in the sense that for every 2 affinely homeomorphic faces $F_1$ and $F_2$ there is an automorphism of $S$ which maps $F_1$ onto $F_2$. Every metrizable simplex is affinely homeomorphic to a face of $S$. The set of extreme points of $S$ is homeomorphic to the Hilbert space $\ell _2$. The matrices which represent $A(S)$ are characterized.},
author = {Lindenstrauss, Joram, Olsen, Gunnar, Sternfeld, Y.},
journal = {Annales de l'institut Fourier},
language = {eng},
number = {1},
pages = {91-114},
publisher = {Association des Annales de l'Institut Fourier},
title = {The Poulsen simplex},
url = {http://eudml.org/doc/74350},
volume = {28},
year = {1978},
}

TY - JOUR
AU - Lindenstrauss, Joram
AU - Olsen, Gunnar
AU - Sternfeld, Y.
TI - The Poulsen simplex
JO - Annales de l'institut Fourier
PY - 1978
PB - Association des Annales de l'Institut Fourier
VL - 28
IS - 1
SP - 91
EP - 114
AB - It is proved that there is a unique metrizable simplex $S$ whose extreme points are dense. This simplex is homogeneous in the sense that for every 2 affinely homeomorphic faces $F_1$ and $F_2$ there is an automorphism of $S$ which maps $F_1$ onto $F_2$. Every metrizable simplex is affinely homeomorphic to a face of $S$. The set of extreme points of $S$ is homeomorphic to the Hilbert space $\ell _2$. The matrices which represent $A(S)$ are characterized.
LA - eng
UR - http://eudml.org/doc/74350
ER -