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A correspondence between surjective local homeomorphisms and a family of separated graphs

A correspondence between surjective local homeomorphisms and a family of separated graphs

We present a graph-theoretic model for dynamical systems $ (X, \sigma) $ given by a surjective local homeomorphism $ \sigma $ on a totally disconnected compact metrizable space $ X $. In order to make the dynamics appear explicitly in the graph, we use two-colored Bratteli separated graphs as the …