On Vershik's standardness criterion and Tsirelson's notion of cosiness.
Résumé
"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. "
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