Proceedings of the American Mathematical Society

Author(s): M. Lemanczyk; A. Siemaszko
Journal: Proc. Amer. Math. Soc. 129 (2001), 475-482.
MSC (2000): Primary 37B40
Posted: July 27, 2000
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Given a topological system

on a $\sigma$ -compact Hausdorff space and its factor

we show the existence of a largest topological factor $\hat{S}$ containing

such that for each $\hat{S}$ -invariant measure $\mu$ , $h_\mu(\hat{S}\vert S)=0$ . When a relative variational principle holds, $h(\hat{S})=h(S)$ .

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 37B40

M. Lemanczyk
Affiliation: Faculty of Mathematics and Computer Science, Nicholas Copernicus University, ul. Chopina 12/18, 87-100 Torun, Poland
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

DOI: 10.1090/S0002-9939-00-05892-5
PII: S 0002-9939(00)05892-5
Keywords: Topological entropy, relative Pinsker factor
Received by editor(s): April 22, 1999
Posted: July 27, 2000
Communicated by: Michael Handel
Copyright of article: Copyright 2000, American Mathematical Society

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