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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
Posted:
October 18, 2010
MathSciNet review:
2763761
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Abstract: Basic properties of a  -relation, the topological analogue of the classical Kolmogorov definition, are investigated. It is shown that the Petersen subshift is a topological  -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
Posted:
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
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