Resolving Extensions of Finitely Presented Systems |
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Authors: | Todd Fisher |
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Affiliation: | 1. Department of Mathematics, Brigham Young University, Provo, UT, 84602, USA
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Abstract: | In this paper we extend certain central results of zero dimensional systems to higher dimensions. The first main result shows that if (Y,f) is a finitely presented system, then there exists a Smale space (X,F) and a u-resolving factor map π +:X→Y. If the finitely presented system is transitive, then we show there is a canonical minimal u-resolving Smale space extension. Additionally, we show that any finite-to-one factor map between transitive finitely presented systems lifts through u-resolving maps to an s-resolving map. |
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