@techreport{ce8a3f8a3d6a4774922d40cd1bd09617,

title = "On kernels of cellular covers",

abstract = "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",

keywords = "Mathematics - Group Theory, Mathematics - Algebraic Topology, Mathematics - Logic",

author = "Farjoun, {Emmanuel D.} and Ruediger Goebel and Yoav Segev and Saharon Shelah",

year = "2007",

month = feb,

day = "10",

language = "אנגלית",

series = "Arxiv Math GR",

type = "WorkingPaper",

}