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 ℍ².
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm222-3-5,
author = {Jan Mycielski and Grzegorz Tomkowicz},
title = {The Banach-Tarski paradox for the hyperbolic plane (II)},
journal = {Fundamenta Mathematicae},
volume = {220},
year = {2013},
pages = {289-290},
zbl = {1284.51020},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm222-3-5}
}
Jan Mycielski; Grzegorz Tomkowicz. The Banach-Tarski paradox for the hyperbolic plane (II). Fundamenta Mathematicae, Tome 220 (2013) pp. 289-290. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm222-3-5/