EZ-structures and topological applications

dc.creatorFarrell, F. T.
dc.creatorLafont, J. -F.
dc.date2004-05-13
dc.date.accessioned2026-07-07T05:08:14Z
dc.date.available2026-07-07T05:08:14Z
dc.descriptionWe introduce the notion of an EZ-structure on a group. Delta-hyperbolic groups and CAT(0)-groups have EZ-structures. We show torsion-free groups having an EZ-structure automatically have an action by homeomorphisms on a closed (high-dimensional) ball, which is well-behaved away from a "bad limit set" in the boundary of the ball. We show that groups having such an action satisfy the Novikov conjecture. For torsion-free delta-hyperbolic groups $G$, we also give a lower bound for the homotopy groups $π_n(P(BG))$, where $P$ is the stable topological pseudo-isotopy functor.
dc.description21 pages, final version will appear in Comment. Math. Helv
dc.identifierhttps://arxiv.org/abs/math/0405260
dc.identifierhttp://arxiv.org/abs/math/0405260
dc.identifierComment. Math. Helv., 80 (2005), pgs. 103-121.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71181
dc.subjectGeometric Topology
dc.subjectK-Theory and Homology
dc.titleEZ-structures and topological applications
dc.typetext

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