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On the dimension of classifying spaces for families of abelian subgroups

On the dimension of classifying spaces for families of abelian subgroups
On the dimension of classifying spaces for families of abelian subgroups
We show that a finitely generated abelian group G of torsion free rank n ≥ 1 admits a n + r dimensional model for EFrG, where Fr is the family of subgroups of torsion-free rank less than or equal to r ≥ 0.
Corob Cook, Ged
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Nucinkis, Brita E.A.
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Moreno, Víctor
127271eb-4e5a-41c6-a43b-02d1753f405a
Pasini, Federico
9320e272-aec7-4203-8249-bc2180222aa7
Corob Cook, Ged
de8c4e37-ab72-4e7c-ad10-a940066433c5
Nucinkis, Brita E.A.
0b1c337c-36ae-4ef3-add4-b49a7c23810c
Moreno, Víctor
127271eb-4e5a-41c6-a43b-02d1753f405a
Pasini, Federico
9320e272-aec7-4203-8249-bc2180222aa7

Corob Cook, Ged, Nucinkis, Brita E.A., Moreno, Víctor and Pasini, Federico (2016) On the dimension of classifying spaces for families of abelian subgroups. Homology, Homotopy and Applications. (In Press)

Record type: Article

Abstract

We show that a finitely generated abelian group G of torsion free rank n ≥ 1 admits a n + r dimensional model for EFrG, where Fr is the family of subgroups of torsion-free rank less than or equal to r ≥ 0.

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Classifying spaces for families - Accepted Manuscript
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Accepted/In Press date: 19 December 2016
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 406454
URI: http://eprints.soton.ac.uk/id/eprint/406454
PURE UUID: f600b4e4-f1a3-4c9f-9711-ab5be1d38cfb

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Date deposited: 10 Mar 2017 10:47
Last modified: 16 Mar 2024 05:02

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Contributors

Author: Ged Corob Cook
Author: Brita E.A. Nucinkis
Author: Víctor Moreno
Author: Federico Pasini

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