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Amenable group actions on the integers; an independence result
Author(s):
Matthew
Foreman
Journal:
Bull. Amer. Math. Soc.
21
(1989),
237-240.
MSC (1985):
Primary 38D35, 60B99;
Secondary 43A07
MathSciNet review:
998197
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References |
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Additional information
References:
- [B] S. Banach, Sur le problème de la mesure, Fund. Math. 4 (1923), 7-33.
- [B-L] J. Baumgartner and R. Laver, Iterated perfect set forcing, Annals of Math. Logic 17 (1979), 271-288. MR 556894
- [C] C. Chou, The exact cardinality of the set of invariant means on a group, Proc. Amer. Math. Soc. (1976), 103-106. MR 394036
- [D] V. G. Drinfield, Solution of the Banach-Ruziewicz problem on S, Functional Anal. Appl. 18 (1984), 77-78.
- [K] S. Krasa, Non-uniqueness of invariant means for amenable group actions, Monatsh. Math. 100 (1985), 121-125. MR 809116
- [Ku] K. Kunen, Set Theory: an introduction to independence proofs, Elsevier, North-Holland, 1980, New York. MR 597342
- [M] R. Mckenzie, private correspondence.
- [M1] G. Margulis, Some remarks on invariant means, Monatsh. Math. 90 (1980), 233-235. MR 596890
- [M2] G. Margulis, Finitely additive invariant measures on Euclidean spaces, J. Ergodic Theory and Dynamical Systems 2 no. 3 (1982), 383-396. MR 721730
- [R-T] J. Rosenblatt and M. Talagrand, Differential types of invariant means, J. London Math. Soc. 24 (1981), 525-532. MR 635883
- [S] D. Sullivan, For n > 3, there is only one finitely additive rotationally invariant measure on the n-sphere defined on all Lebesgue measurable sets, Bull. Amer. Math. Soc. (N.S.) 4 (1981), 121-123. MR 590825
- [Y] Z. Yang, Action of amenable groups and uniqueness of invariant means (to appear). MR 1105654
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Additional Information:
DOI:
10.1090/S0273-0979-1989-15815-1
PII:
S 0273-0979(1989)15815-1
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