On kernels of cellular covers
群论
2007-05-23 v1 代数拓扑
逻辑
摘要
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.
引用
@article{arxiv.math/0702294,
title = {On kernels of cellular covers},
author = {Emmanuel D. Farjoun and Ruediger Goebel and Yoav Segev and Saharon Shelah},
journal= {arXiv preprint arXiv:math/0702294},
year = {2007}
}