Mathematics – Geometric Topology
Scientific paper
2005-07-18
Mathematics
Geometric Topology
9 pages
Scientific paper
Cencelj and Dranishnikov showed that for certain nilpotent groups $G$,
$K(G_{ab},1) \in \text{AE}(X)$ is equivalent to $K(G,1) \in \text{AE}(X)$ for
any compacta $X$ (here $G_{ab}$ is the abelianization of $G$). We examine the
same problem for solvable groups. We also give an elementary proof of this fact
for any nilpotent group and any 2-dimensional metric space.
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