Non-amenable groups with amenable action and some paradoxical decompositions in the plane

• Autorzy: Jan Mycielski
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1998
• Tom: 75
• Numer: 1
• Strony: 149-157

Daty

wydano

1998

otrzymano

1996-11-12

poprawiono

1997-04-15

Twórcy

autor

Jan Mycielski

• Department of Mathematics, University of Colorado Boulder, Colorado 80309-0395, U.S.A.

Bibliografia

• [B] A. Borel, On free subgroups of semi-simple groups, Enseign. Math. 29 (1983), 151-164.
• [DS] P. Deligne and D. Sullivan, Division algebras and the Hausdorff-Banach-Tarski Paradox, ibid., 145-150.
• [K] M. Kuranishi, On everywhere dense imbedding of free groups in Lie groups, Nagoya Math. J. 2 (1951), 63-71.
• [M1] J. Mycielski, The Banach-Tarski paradox for the hyperbolic plane, Fund. Math. 132 (1989), 143-149.
• [M2] J. Mycielski, Finitely additive measures I, Colloq. Math. 42 (1979), 309-318.
• [MW] J. Mycielski and S. Wagon, Large free groups of isometries and their geometrical uses, Enseign. Math. 30 (1984), 247-267.
• [S] K. Satô, A free group acting without fixed points on the rational unit sphere, Fund. Math. 148 (1995), 63-69.
• [W] S. Wagon, The Banach-Tarski Paradox, Cambridge Univ. Press, 1985 (3rd printing).