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Monotonicity of maximal equicontinuous factors and an application to toral flows

Monotonicity of maximal equicontinuous factors and an application to toral flows

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2076684077

Monotonicity of maximal equicontinuous factors and an application to toral flows

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Full title

Monotonicity of maximal equicontinuous factors and an application to toral flows

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Publisher

Ithaca: Cornell University Library, arXiv.org

Journal title

arXiv.org, 2017-11

Language

English

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Publisher

Ithaca: Cornell University Library, arXiv.org

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Contents

We show that for group actions on locally connected spaces the maximal equicontinuous factor map is always monotone, that is, the preimages of single points are connected. As an application, we obtain that if the maximal continuous factor of a homeomorphism of the two-torus is minimal, then it is either (i) an irrational translation of the two-toru...

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Full title

Monotonicity of maximal equicontinuous factors and an application to toral flows

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TN_cdi_proquest_journals_2076684077

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2076684077

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E-ISSN

2331-8422

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