About embedded quarters and points at infinity in the hyperbolic plane

2015/07/30 by Maurice Margenstern, Margenstern, Maurice
Computer Science · Mathematics · #68R99 #Advanced Differential Equations and Dynamical Systems #Cellular Automata and Applications #Computational Geometry (cs.CG) #F.2.2 #FOS: Computer and information sciences #FOS: Mathematics #Geometric Topology (math.GT) #Mathematical Dynamics and Fractals #acm:68R99 #cs.CG #math.GT #msc:68R99

paper · pdf · doi:10.48550/arxiv.1507.08495

17 pages, 5 figures

arxiv created 2015/07/30 · openalex publication_date 2015/07/30 · arxiv updated 2015/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove two results. First, there is a family of sequences of embedded quarters of the hyperbolic plane such that any sequence converges to a limit which is an end of the hyperbolic plane. Second, there is no algorithm which would allow us to check whether two given ends are equal or not.

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