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Catalogue Information
Field name	Details
Dewey Class	514.34 (DDC 23)
Title	Generic Coarse Geometry of Leaves ([Ebook]) / Jesús A. Álvarez López, Alberto Candel
Author	Alvarez López, Jesús A.
Added Personal Name	Candel, Alberto
Publication	Cham : Springer , 2018
Physical Details	1 Online-Ressource (XV, 173 pages) : ill.
Series	Lecture Notes in Mathematics ; 2223
ISBN	9783319941325
Summary Note	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.:
Mode of acces to digital resource	Digital book. Cham Springer International Publishing 2018. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscribing institutions through IP address (only for SISSA internal users)
Internet Site	https://doi.org/10.1007/978-3-319-94132-5
Links to Related Works	Subject References: Complex manifolds . Manifolds and Cell Complexes (incl. Diff.Topology) . Mathematics . Authors: Alvarez López, Jesús A. . Candel, Alberto . Series: Lecture Notes in Mathematics . Classification: 514.34 (DDC 23) . 514.34 (DDC 23.) .

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Generic Coarse Geometry of Leaves

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