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2011 The visual boundary of $\mathbb{Z}^2$
Kyle Kitzmiller, Matt Rathbun
Involve 4(2): 103-116 (2011). DOI: 10.2140/involve.2011.4.103

Abstract

We introduce ideas from geometric group theory related to boundaries of groups. We consider the visual boundary of a free abelian group, and show that it is an uncountable set with the trivial topology.

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Kyle Kitzmiller. Matt Rathbun. "The visual boundary of $\mathbb{Z}^2$." Involve 4 (2) 103 - 116, 2011. https://doi.org/10.2140/involve.2011.4.103

Information

Received: 28 April 2009; Revised: 6 March 2011; Accepted: 7 March 2011; Published: 2011
First available in Project Euclid: 20 December 2017

zbMATH: 1234.20049
MathSciNet: MR2876192
Digital Object Identifier: 10.2140/involve.2011.4.103

Subjects:
Primary: 20F05, 20F69, 51F99

Rights: Copyright © 2011 Mathematical Sciences Publishers

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