Volume 5, issue 4 (2005)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 16
Issue 5, 2459–3071
Issue 4, 1827–2458
Issue 3, 1253–1825
Issue 2, 621–1251
Issue 1, 1–620

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Subscriptions
Author Index
To Appear
Contacts
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
The topological Hawaiian earring group does not embed in the inverse limit of free groups

Paul Fabel

Algebraic & Geometric Topology 5 (2005) 1585–1587

arXiv: math.GN/0501482

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.

Keywords
topological fundamental group, inverse limit space, Hawaiian earring
Mathematical Subject Classification 2000
Primary: 57M05, 14F35
Secondary: 54H10, 22A10
References
Forward citations
Publication
Received: 15 2005
Revised: 22 October 2005
Accepted: 24 October 2005
Published: 24 November 2005
Authors
Paul Fabel
Drawer MA
Department of Mathematics and Statistics
Mississippi State University
Mississippi State
MS 39762
USA