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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the topological Kolmogorov property of the Chacon and Petersen subshifts


Authors: Wojciech Bułatek and Brunon Kamiński
Journal: Proc. Amer. Math. Soc. 139 (2011), 1735-1741
MSC (2010): Primary 37B05, 54H20; Secondary 28D05
Published electronically: October 18, 2010
MathSciNet review: 2763761
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Abstract: Basic properties of a $ K$-relation, the topological analogue of the classical Kolmogorov definition, are investigated. It is shown that the Petersen subshift is a topological $ K$-system and that the Chacon subshift is not.


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Additional Information

Wojciech Bułatek
Affiliation: Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87-100 Toruń, Poland
Email: bulatek@mat.uni.torun.pl

Brunon Kamiński
Affiliation: Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87-100 Toruń, Poland
Email: bkam@mat.uni.torun.pl

DOI: http://dx.doi.org/10.1090/S0002-9939-2010-10599-3
PII: S 0002-9939(2010)10599-3
Received by editor(s): March 15, 2010
Received by editor(s) in revised form: May 2, 2010, May 19, 2010, and May 21, 2010
Published electronically: October 18, 2010
Additional Notes: The first author was supported in part by Grant MNiSZW NN201 384834.
The second author was supported in part by Grant MNiSZW NN201 384834.
Communicated by: Bryna Kra
Article copyright: © Copyright 2010 American Mathematical Society