On kernels of cellular covers

Emmanuel D. Farjoun, Ruediger Goebel, Yoav Segev, Saharon Shelah

Research output: Working paper/PreprintPreprint


In 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
Original languageEnglish GB
StatePublished - 10 Feb 2007

Publication series

NameArxiv Math GR


  • Mathematics - Group Theory
  • Mathematics - Algebraic Topology
  • Mathematics - Logic


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