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arXiv · 2007.10889

Blur shift spaces

Tadeu Zavistanovicz Almeida·Marcelo Sobottka
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Abstract

In this work we propose a new type of shift spaces, called blur shift spaces, where one can represent with a single symbol an entire set of infinite symbols. Such shift spaces are constructed from classical shift spaces, by choosing some sets of infinitely many symbols that will be represented by a new symbol, and then defining a convenient topology. The shift spaces we are proposing generalize ideas presented previously by Ott, Tomforde and Willis, and by Gon\c{c}alves and Royer, which were used to find isomorphism between $C^*$-algebras associated to some classes of shift spaces. In particular, blur shifts can be used as a compactification scheme for classical shift spaces.

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Tadeu Zavistanovicz Almeida, Marcelo Sobottka. 2020-07-21. Blur shift spaces. https://arxiv.org/abs/2007.10889

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