| Title:
|
A strengthening of the Poincaré recurrence theorem on MV-algebras (English) |
| Author:
|
Riečan, Beloslav |
| Language:
|
English |
| Journal:
|
Applications of Mathematics 2012 |
| Volume:
|
Proceedings. Prague, May 2-5, 2012 |
| Issue:
|
2012 |
| Year:
|
|
| Pages:
|
236-242 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The strong version of the Poincaré recurrence theorem states that for any probability space $(\Omega, \mathcal S, P)$, any $P$-measure preserving transformation $T:\Omega \to \Omega$ 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]. (English) |
| Keyword:
|
Poincaré recurrence theorem |
| Keyword:
|
probability space |
| Keyword:
|
measure preserving transformation |
| Keyword:
|
MV-algebra |
| MSC:
|
06D35 |
| MSC:
|
28D05 |
| MSC:
|
60A10 |
| MSC:
|
60E10 |
| idZBL:
|
Zbl 1313.60001 |
| idMR:
|
MR3204415 |
| . |
| Date available:
|
2017-02-14T09:03:27Z |
| Last updated:
|
2017-04-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702909 |
| . |
