<電子ブック>
Generic Coarse Geometry of Leaves / by Jesús A. Álvarez López, Alberto Candel
(Lecture Notes in Mathematics. ISSN:16179692 ; 2223)
版 | 1st ed. 2018. |
---|---|
出版者 | (Cham : Springer International Publishing : Imprint: Springer) |
出版年 | 2018 |
大きさ | XV, 173 p. 16 illus : online resource |
著者標目 | *Álvarez López, Jesús A author Candel, Alberto author SpringerLink (Online service) |
件 名 | LCSH:Manifolds (Mathematics) FREE:Manifolds and Cell Complexes |
一般注記 | 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 HTTP:URL=https://doi.org/10.1007/978-3-319-94132-5 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9783319941325 |
|
電子リソース |
|
EB00210750 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA613-613.8 DC23:514.34 |
書誌ID | 4000115259 |
ISBN | 9783319941325 |
類似資料
この資料の利用統計
このページへのアクセス回数:1回
※2017年9月4日以降