On the asymmetry of stars at infinity release_yhju4foxyrfs7hl5sjp34fi5q4

by Keith Jones, Gregory A. Kelsey

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Given a bordified space, Karlsson defines an incidence geometry of stars at infinity. These stars and their incidence are closely related to well-understood objects when the space is hyperbolic, CAT(0), or a bounded convex domain with the Hilbert metric. A question stemming from Karlsson's original paper was whether or not the relation of one boundary point being included in a star of another boundary point is symmetric. This paper provides an example demonstrating that this relation in the star boundary of the three-tree Diestel-Leader graph DL_3(q) is not symmetric. In doing so, some interesting bounds on distance in Diestel-Leader graphs are utilized.
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Type  article
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Date   2020-01-17
Version   v1
Language   en ?
arXiv  2001.06411v1
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