Geodesic
The Banach–Tarski paradox for the hyperbolic plane (II)
Jan Mycielski1 ; Grzegorz Tomkowicz2
1 Departament of Mathematics University of Colorado Boulder, CO 80309-0395, U.S.A.
2 Centrum Edukacji G$^2$ Moniuszki 9 41-902 Bytom, Poland
Fundamenta Mathematicae, Tome 222 (2013) no. 3, pp. 289-290

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $\mathbb {H}^2$.
DOI : 10.4064/fm222-3-5
Mots-clés : second author found gap proof main theorem nbsp mycielski fund math here fill gap remarks about geometry hyperbolic plane nbsp mathbb

Jan Mycielski 1 ; Grzegorz Tomkowicz 2

1 Departament of Mathematics University of Colorado Boulder, CO 80309-0395, U.S.A.
2 Centrum Edukacji G$^2$ Moniuszki 9 41-902 Bytom, Poland 
@article{10_4064_fm222_3_5,
     author = {Jan Mycielski and Grzegorz Tomkowicz},
     title = {The {Banach{\textendash}Tarski} paradox for the hyperbolic plane {(II)}},
     journal = {Fundamenta Mathematicae},
     pages = {289--290},
     publisher = {mathdoc},
     volume = {222},
     number = {3},
     year = {2013},
     doi = {10.4064/fm222-3-5},
     language = {pl},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm222-3-5/}
}
TY  - JOUR
AU  - Jan Mycielski
AU  - Grzegorz Tomkowicz
TI  - The Banach–Tarski paradox for the hyperbolic plane (II)
JO  - Fundamenta Mathematicae
PY  - 2013
SP  - 289
EP  - 290
VL  - 222
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm222-3-5/
DO  - 10.4064/fm222-3-5
LA  - pl
ID  - 10_4064_fm222_3_5
ER  - 
%0 Journal Article
%A Jan Mycielski
%A Grzegorz Tomkowicz
%T The Banach–Tarski paradox for the hyperbolic plane (II)
%J Fundamenta Mathematicae
%D 2013
%P 289-290
%V 222
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm222-3-5/
%R 10.4064/fm222-3-5
%G pl
%F 10_4064_fm222_3_5
Jan Mycielski; Grzegorz Tomkowicz. The Banach–Tarski paradox for the hyperbolic plane (II). Fundamenta Mathematicae, Tome 222 (2013) no. 3, pp. 289-290. doi: 10.4064/fm222-3-5

Cité par Sources :