@article{eprints984, pages = {341--344}, year = {2007}, volume = {345}, title = {Sur l'interversion de l'ordre entre deux op{\'e}rations sur les tribus}, author = {Irene Crimaldi and Giorgio Letta and Luca Pratelli}, journal = {Comptes rendus math{\'e}matique}, publisher = {Elsevier Masson}, number = {6}, url = {http://eprints.imtlucca.it/984/}, abstract = {We characterize the measurable spaces (?,A) such that, for each sub-{\ensuremath{\sigma}}-field G of A and each decreasing filtered family (F\_t) of sub-{\ensuremath{\sigma}}-fields of A, with F\_t ? F\_?, we have F\_t ? G ? F\_? ? G. It follows a characterization of the probability spaces (?, A, P) such that, for each sub-{\ensuremath{\sigma}}-field G of A and each decreasing sequence (F\_n) of sub-{\ensuremath{\sigma}}-fields of A, with F\_n ? F\_?, we have ?\_n (F\_n ? G) {$\sim$} F\_? ? G (mod P). } }