The strong version of the Poincaré recurrence theorem states that for any probability space $(\Omega ,𝒮,P)$, any $P$-measure preserving transformation $T:\Omega \to \Omega$ and any $A\in 𝒮$ almost every point of $A$ returns to $A$ infinitely many times. In [8] (see also [4]) the theorem has been proved for MV-algebras of some type. The present paper contains a remarkable strengthening of the result stated in [8].

EUDML-ID : urn:eudml:doc:287843
Mots clés:
Mots clés:

@article{702909,
     title = {A strengthening of the Poincar\'e recurrence theorem on MV-algebras},
     booktitle = {Applications of Mathematics 2012},
     series = {GDML\_Books},
     publisher = {Institute of Mathematics AS CR},
     address = {Prague},
     year = {2012},
     pages = {236-242},
     mrnumber = {MR3204415},
     zbl = {1313.60001},
     url = {http://dml.mathdoc.fr/item/702909}
}

Riečan, Beloslav. A strengthening of the Poincaré recurrence theorem on MV-algebras, dans Applications of Mathematics 2012, GDML_Books,  (2012), pp. 236-242. http://gdmltest.u-ga.fr/item/702909/