On the homotopy of finite CW-complexes with polycyclic fundamental group

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dc.creatorDamian, Mihai
dc.date2006-12-14
dc.date.accessioned2026-07-07T07:34:51Z
dc.date.available2026-07-07T07:34:51Z
dc.descriptionLet X be a finite CW-complex of dimension q. If its fundamental group $π_{1}(X)$ is polycyclic of Hirsch number h>q we show that at least one of the homotopy groups $π_{i}(X)$ is not finitely generated. If h=q or h=q-1 the same conclusion holds unless X is an Eilenberg-McLane space $K(π_{1}(X),1)$.
dc.description27 pages, 0 figures
dc.identifierhttps://arxiv.org/abs/math/0612386
dc.identifierhttp://arxiv.org/abs/math/0612386
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119916
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject57R70, 55P15, 57Q10
dc.titleOn the homotopy of finite CW-complexes with polycyclic fundamental group
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