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The visual boundary of Z2

2009/11/20 by Kyle Kitzmiller, Kitzmiller, Kyle, Matt Rathbun +1
Mathematics · #51F #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.0911.3982

openalex publication_date 2009/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

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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