588 articles – 596 Notices  [english version]
HAL : hal-00129657, version 1

Fiche détaillée  Récupérer au format
On Vershik's standardness criterion and Tsirelson's notion of cosiness.
Michel Emery 1, Walter Schachermayer
(28/02/2000)

"Besides exposing Vershik's theory of standard filtrations and his theorem on lacunary isomorphism, we show that standardness is equivalent to a variant (called I-cosiness) of Tsirelson's notion of cosiness; we show that I-cosiness is strictly stronger than another variant used in earlier works. We also answer a question of von Weizs/"acker on germ sigma-fields. "
1 :  Institut de Recherche Mathématique Avancée (IRMA)
CNRS : UMR7501 – Université Louis Pasteur - Strasbourg I
Mathématiques/Probabilités
"filtration – standard filtration – cosy filtration – germ sigma-field"
Liste des fichiers attachés à ce document : 
PDF
00006.pdf(1010.3 KB)