| 书目名称 | Generic Coarse Geometry of Leaves | | 编辑 | Jesús A. Álvarez López,Alberto Candel | | 视频video | | | 概述 | Several coarse properties of leaves are shown to hold, either for residually many or for meagerly many leaves.New coarse concepts are introduced to study this residual-meager dichotomy.Numerous exampl | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | .This book provides a detailed introduction to the coarse quasi-isometry of leaves of a foliated space and describes the cases where the generic leaves 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 holonomy are uniformly coarsely quasi-isometric to each other, or else every leaf is coarsely quasi-isometric to just meagerly many other leaves. Moreover, if all leaves are dense, the first alternative is characterized by a condition on the leaves called coarse quasi-symmetry. Similar results are proved for more specific coarse invariants, like growth type, asymptotic dimension, and amenability. The Higson corona of the leaves is also studied. All 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. . | | 出版日期 | Book 2018 | | 关键词 | Asymptotic Dimension; Coarse Quasi-isometry; Foliated Space; Growth; Leaf | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-94132-5 | | isbn_softcover | 978-3-319-94131-8 | | isbn_ebook | 978-3-319-94132-5Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer Nature Switzerland AG 2018 |
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发表于 2025-3-21 18:54:08
