A Sierpiński carpet with the co-Hopfian property

DOI10.1007/s00222-010-0231-5zbMath1194.37044arXiv1305.4161OpenAlexW3100145435MaRDI QIDQ967586

Sergei Merenkov

Publication date: 30 April 2010

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4161

Mathematics Subject Classification ID

Fractals (28A80) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

Related Items

Quasisymmetrically co-Hopfian Menger curves and Sierpiński spaces ⋮ Dynamic characterizations of quasi-isometry and applications to cohomology ⋮ Quasisymmetries of Sierpiński carpet Julia sets ⋮ Modulus and Poincaré inequalities on non-self-similar Sierpiński carpets ⋮ INVISIBLE SETS AND CONFORMAL DIMENSIONS OF SQUARE SIERPIŃSKI CARPETS ⋮ Quasisymmetric embeddings of slit Sierpiński carpets ⋮ Quasisymmetric rigidity of square Sierpiński carpets ⋮ Quasisymmetries of the basilica and the Thompson group ⋮ Quasisymmetric embeddability of weak tangents ⋮ Regular mappings and non-existence of bi-Lipschitz embeddings for slit carpets ⋮ Quasi-isometric co-Hopficity of non-uniform lattices in rank-one semi-simple Lie groups

Cites Work

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• Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank \(1\) Lie groups. II
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