A note on the existence of a largest topological factor with zero entropy
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- by M. Lemańczyk and A. Siemaszko PDF
- Proc. Amer. Math. Soc. 129 (2001), 475-482 Request permission
Abstract:
Given a topological system $T$ on a $\sigma$-compact Hausdorff space and its factor $S$ we show the existence of a largest topological factor $\hat {S}$ containing $S$ such that for each $\hat {S}$-invariant measure $\mu$, $h_\mu (\hat {S}|S)=0$. When a relative variational principle holds, $h(\hat {S})=h(S)$.References
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Additional Information
- M. Lemańczyk
- Affiliation: Faculty of Mathematics and Computer Science, Nicholas Copernicus University, ul. Chopina 12/18, 87-100 Toruń, Poland
- MR Author ID: 112360
- Email: mlem@mat.uni.torun.pl
- A. Siemaszko
- Affiliation: Department of Applied Mathematics, Olsztyn University of Agriculture and Technology, Oczapowskiego 1, 10-957 Olsztyn-Kortowo, Poland
- Email: artur@art.olsztyn.pl
- Received by editor(s): April 22, 1999
- Published electronically: July 27, 2000
- Communicated by: Michael Handel
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 475-482
- MSC (2000): Primary 37B40
- DOI: https://doi.org/10.1090/S0002-9939-00-05892-5
- MathSciNet review: 1800236