The topological Hawaiian earring group does not embed in the inverse limit of free groups

Details The topological Hawaiian earring group does not embed in the inverse limit of free groups The topological Hawaiian earring group does not embed in the inverse limit of free groups

2005-01-26

arxiv.org/abs/math/0501482v3

Algebr. Geom. Topol. 5 (2005) 1585-1587

Mathematics

General Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-64.abs.html

Scientific paper

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.

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