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Type: Artigo de periódico
Title: Finiteness Conditions And Pdr-group Covers Of Pdn -complexes
Author: Hillman J.A.
Kochloukova D.H.
Abstract: We show that an infinite cyclic covering space M′ of a PD n -complex M is a PD n-1-complex if and only if χ(M) = 0, M′ is homotopy equivalent to a complex with finite [(n-1)/2]-skeleton and π1(M′) is finitely presentable. This is best possible in terms of minimal finiteness assumptions on the covering space. We give also a corresponding result for covering spaces M ν with covering group a PD r -group under a slightly stricter finiteness condition. © Springer-Verlag 2007.
Rights: fechado
Identifier DOI: 10.1007/s00209-006-0058-3
Date Issue: 2007
Appears in Collections:Unicamp - Artigos e Outros Documentos

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