The Universal 2D Menger Space as Limit Sets of Higher-Dimensional Kleinian Groups

International Mathematics Research Notices 2026

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Authors: Jiming Ma
DOI: 10.1093/imrn/rnag026
Cited by: 0
References: 10

Abstract

Abstract We show there exists a convex cocompact subgroup $\Gamma $ in the isometry group of the hyperbolic space $\textbf{H}^{10}$ with limit set the universal 2D Menger space.

Fields of Study & Subjects

Geometric and Algebraic Topology Mathematical Dynamics and Fractals Advanced Algebra and Geometry

Publication details

Journal / source
International Mathematics Research Notices
Volume
2026
Issue
4
Publication date
27 January 2026
Language
EN