Boundaries of systolic groups

2008/08/17 by Damian Osajda, Osajda, Damian, Piotr Przytycki +1 · 1 citation
Computer Science · Mathematics · #20F65 #20F67 #20F69 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.0808.2304

openalex publication_date 2008/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For all systolic groups we construct boundaries which are EZ--structures. This implies the Novikov conjecture for torsion--free systolic groups. The boundary is constructed via a system of distinguished geodesics in a systolic complex, which we prove to have coarsely similar properties to geodesics in CAT(0) spaces.

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• Boundary rigidity of systolic and Helly complexes

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