On kernels of cellular covers

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dc.creatorFarjoun, Emmanuel D.
dc.creatorGoebel, Ruediger
dc.creatorSegev, Yoav
dc.creatorShelah, Saharon
dc.date2007-02-11
dc.date.accessioned2026-07-07T07:46:18Z
dc.date.available2026-07-07T07:46:18Z
dc.descriptionIn the present paper we continue to examine cellular covers of groups, focusing on the cardinality and the structure of the kernel K of the cellular map G-> M . We show that in general a torsion free reduced abelian group M may have a proper class of non-isomorphic cellular covers. In other words, the cardinality of the kernels is unbounded. In the opposite direction we show that if the kernel of a cellular cover of any group M has certain ``freeness'' properties, then its cardinality must be bounded.
dc.identifierhttps://arxiv.org/abs/math/0702294
dc.identifierhttp://arxiv.org/abs/math/0702294
dc.identifierGroups Geom. Dyn. 1 No. 4 (2007) 409--419
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123784
dc.subjectGroup Theory
dc.subjectAlgebraic Topology
dc.subjectLogic
dc.titleOn kernels of cellular covers
dc.typetext

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