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2005 The topological Hawaiian earring group does not embed in the inverse limit of free groups
Paul Fabel
Algebr. Geom. Topol. 5(4): 1585-1587 (2005). DOI: 10.2140/agt.2005.5.1585

Abstract

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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Paul Fabel. "The topological Hawaiian earring group does not embed in the inverse limit of free groups." Algebr. Geom. Topol. 5 (4) 1585 - 1587, 2005. https://doi.org/10.2140/agt.2005.5.1585

Information

Revised: 22 October 2005; Accepted: 24 October 2005; Published: 2005
First available in Project Euclid: 20 December 2017

zbMATH: 1083.57001
MathSciNet: MR2186111
Digital Object Identifier: 10.2140/agt.2005.5.1585

Subjects:
Primary: 14F35, 57M05
Secondary: 22A10, 54H10

Rights: Copyright © 2005 Mathematical Sciences Publishers

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