Titlebook: Generic Coarse Geometry of Leaves; Jesús A. Álvarez López,Alberto Candel Book 2018 Springer Nature Switzerland AG 2018 Asymptotic Dimensio

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978-3-319-94131-8Springer Nature Switzerland AG 2018

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Generic Coarse Geometry of Leaves978-3-319-94132-5Series ISSN 0075-8434 Series E-ISSN 1617-9692

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Introduction,e compact foliated space. For instance, it is stated that, either all dense leaves without holonomy are uniformly coarsely quasi-isometric to each other, or else every leaf is coarsely quasi-isometric to meagerly many leaves. In the minimal case, the first of these alternatives is characterized by c

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Book 2018l the results are richly illustrated with examples. ..The book is primarily aimed at researchers on foliated spaces. More generally, specialists in geometric analysis, topological dynamics, or metric geometry may also benefit from it. .

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Book 2018s have the same quasi-isometric invariants. ..Every leaf of a compact foliated space has an induced coarse quasi-isometry type, represented by the coarse metric defined by the length of plaque chains given by any finite foliated atlas.  When there are dense leaves either all dense leaves without hol

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