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Adding machines and endpoints - MaRDI portal

Adding machines and endpoints (Q1032929)

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scientific article; zbMATH DE number 5625485
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Adding machines and endpoints
scientific article; zbMATH DE number 5625485

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    Adding machines and endpoints (English)
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    5 November 2009
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    An adding machine map (also called an odometer map) \(f_{\alpha}\) is defined on the \(\alpha\)-adic machine. In the paper continuous maps on graphs are considered. Sufficient conditions for a point in the inverse limit space to be a local endpoint in terms of the dynamics of \(f\), are given. In particular it is exposed the relationship between the existence of adding machine dynamics and local endpoints.
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    endpoints
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    inverse limit spaces
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    adding machine maps
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