Compactification of a diagonal action on the product of CAT(-1) spaces

2016/11/25 by Teresa García, García, Teresa
Mathematics · #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.1611.08425

openalex publication_date 2016/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be a proper, non-compact CAT(-1) space, and Γ a discrete cocompact subgroup of the isometries of X. We compactify the diagonal action of Γ on X × X considering a domain of the horofunction boundary with respect to the maximum metric.

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