%0 Journal Article
%T The topological Hawaiian earring group does not embed in the inverse limit of free groups
%A Paul Fabel
%J Mathematics
%D 2005
%I arXiv
%R 10.2140/agt.2005.5.1585
%X Endowed with natural topologies, the fundamental group of the Hawaiian earring continuously injects into the inverse limit of free groups. This note shows the injection fails to have a continuous inverse. Such a phenomenon was unexpected and appears to contradict results of another author.
%U http://arxiv.org/abs/math/0501482v3