arXiv Analytics

Sign in

arXiv:1603.03940 [math.DS]AbstractReferencesReviewsResources

A Bratteli--Vershik representation for all zero-dimensional systems

Takashi Shimomura

Published 2016-03-12Version 1

We show that every zero-dimensional system can have Bratteli--Vershik representation. As a corollary, we get an analogue of the Krieger's Lemma for zero-dimensional systems.

Related articles:
arXiv:0907.2876 [math.DS] (Published 2009-07-16, updated 2010-12-14)
Bratteli-Vershik representations of some one-sided substitution subshifts
arXiv:2008.04186 [math.DS] (Published 2020-08-10)
On Topological Rank of Factors of Cantor Minimal Systems