The Banach–Tarski paradox for the hyperbolic plane (II)
Volume 222 / 2013
Fundamenta Mathematicae 222 (2013), 289-290
MSC: Primary 03E05, 20E05, 51M10; Secondary 20E06.
DOI: 10.4064/fm222-3-5
Abstract
The second author found a gap in the proof of the main theorem in [J. Mycielski, Fund. Math. 132 (1989), 143–149]. Here we fill that gap and add some remarks about the geometry of the hyperbolic plane $\mathbb {H}^2$.