A strengthening of the Poincaré recurrence theorem on MV-algebras

Riečan, Beloslav. "A strengthening of the Poincaré recurrence theorem on MV-algebras." Applications of Mathematics 2012. Prague: Institute of Mathematics AS CR, 2012. 236-242. <http://eudml.org/doc/287843>.

@inProceedings{Riečan2012,
abstract = {The strong version of the Poincaré recurrence theorem states that for any probability space $(\Omega , \mathcal \{S\}, P)$, any $P$-measure preserving transformation $T:\Omega \rightarrow \Omega $ and any $A \in \mathcal \{S\}$ 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].},
author = {Riečan, Beloslav},
booktitle = {Applications of Mathematics 2012},
keywords = {Poincaré recurrence theorem; probability space; measure preserving transformation; MV-algebra},
location = {Prague},
pages = {236-242},
publisher = {Institute of Mathematics AS CR},
title = {A strengthening of the Poincaré recurrence theorem on MV-algebras},
url = {http://eudml.org/doc/287843},
year = {2012},
}

TY - CLSWK
AU - Riečan, Beloslav
TI - A strengthening of the Poincaré recurrence theorem on MV-algebras
T2 - Applications of Mathematics 2012
PY - 2012
CY - Prague
PB - Institute of Mathematics AS CR
SP - 236
EP - 242
AB - The strong version of the Poincaré recurrence theorem states that for any probability space $(\Omega , \mathcal {S}, P)$, any $P$-measure preserving transformation $T:\Omega \rightarrow \Omega $ and any $A \in \mathcal {S}$ 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].
KW - Poincaré recurrence theorem; probability space; measure preserving transformation; MV-algebra
UR - http://eudml.org/doc/287843
ER -