Large free groups of isometries and their geometrical uses

zbMath0563.57021MaRDI QIDQ1057552

Jan Mycielski, Stan Wagon

Publication date: 1984

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

zbMATH Keywords

Borel setsfree actionsfree group of isometries of rank the continuumlocally commutative actionsparadoxical decomposition of \({\mathbb{H}}^ 2\)

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Global Riemannian geometry, including pinching (53C20) Free nonabelian groups (20E05) Euclidean geometries (general) and generalizations (51M05) Noncompact Lie groups of transformations (57S20)

Related Items (4)

Representations of Infinite Permutations by Words ⋮ Properties of paradoxical sets in the plane ⋮ Visualizing paradoxical sets ⋮ A paradoxical view of Escher's angels and devils.

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