000			02011nam 2200301| 4500
001			85600
005			20200127164000.0
010			_a978-3-319-94132-5 _dcompra
090			_a85600
100			_a20190128d2018 k||y0pory50 ba
101	0		_aeng
102			_aUS
200	1		_aGeneric coarse geometry of leaves _bDocumento electrónico _fJesús A. Álvarez López, Alberto Candel
210			_aCham _cSpringer International Publishing _cSpringer _d2018
215			_aXV, 173 p. _cil.
225	2		_aLecture Notes in Mathematics
300			_aColocação: Online
303			_aThis 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.
410	1		_x0075-8434 _v2223
606			_aAgregação celular _xMatemática
680			_aQA613
700			_aÁlvarez López _bJesús
702	1		_aCandel _bAlberto
801		0	_gRPC _aPT
856			_uhttps://doi.org/10.1007/978-3-319-94132-5
942			_2lcc _cF _n0