The visual boundary of Z^2

Davis); Kyle Kitzmiller (San Diego State University); Matt Rathbun (University of California

arxiv: 0911.3982 · v1 · submitted 2009-11-20 · 🧮 math.MG

The visual boundary of Z²

Kyle Kitzmiller (San Diego State University) , Matt Rathbun (University of California , Davis) This is my paper

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keywords boundarygroupvisualabelianboundariesconsiderexpositoryfree

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We introduce ideas from geometric group theory related to boundaries of groups. This is a mostly expository paper. 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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The visual boundary of Z²

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