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The combinatorial structure of the Hawaiian earring group

✍ Scribed by J.W. Cannon; G.R. Conner

Book ID: 104295681
Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 408 KB
Volume: 106
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(99)00103-0

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✦ Synopsis

In this paper we study the combinatorial structure of the Hawaiian earring group, by showing that it can be represented as a group of transfinite words on a countably infinite alphabet exactly analogously to the representation of a finite rank free group as finite words on a finite alphabet. We define a big free group similarly as the group of transfinite words on given set, and study their group theoretic structure.

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