eprintid: 984 rev_number: 12 eprint_status: archive userid: 36 dir: disk0/00/00/09/84 datestamp: 2011-10-31 14:19:25 lastmod: 2012-01-18 08:01:43 status_changed: 2012-01-18 08:01:43 type: article metadata_visibility: show creators_name: Crimaldi, Irene creators_name: Letta, Giorgio creators_name: Pratelli, Luca creators_id: irene.crimaldi@imtlucca.it creators_id: creators_id: title: Sur l'interversion de l'ordre entre deux opérations sur les tribus ispublished: pub subjects: HA subjects: QA divisions: EIC full_text_status: none abstract: We characterize the measurable spaces (Ω,A) such that, for each sub-σ-field G of A and each decreasing filtered family (F_t) of sub-σ-fields of A, with F_t ↓ F_∞, we have F_t ∨ G ↓ F_∞ ∨ G. It follows a characterization of the probability spaces (Ω, A, P) such that, for each sub-σ-field G of A and each decreasing sequence (F_n) of sub-σ-fields of A, with F_n ↓ F_∞, we have ⋂_n (F_n ∨ G) ∼ F_∞ ∨ G (mod P). date: 2007 publication: Comptes rendus mathématique volume: 345 number: 6 publisher: Elsevier Masson pagerange: 341-344 id_number: doi:10.1016/j.crma.2007.07.020 refereed: TRUE issn: 1631-073X official_url: http://dx.doi.org/10.1016/j.crma.2007.07.020 citation: Crimaldi, Irene and Letta, Giorgio and Pratelli, Luca Sur l'interversion de l'ordre entre deux opérations sur les tribus. Comptes rendus mathématique, 345 (6). pp. 341-344. ISSN 1631-073X (2007)