On the topological Kolmogorov property of the Chacon and Petersen subshifts

Bułatek, Wojciech; Kamiński, Brunon

doi:10.1090/S0002-9939-2010-10599-3

On the topological Kolmogorov property of the Chacon and Petersen subshifts
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by Wojciech Bułatek and Brunon Kamiński

Proc. Amer. Math. Soc. 139 (2011), 1735-1741

DOI: https://doi.org/10.1090/S0002-9939-2010-10599-3

Published electronically: October 18, 2010

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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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