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Banach-Tarski decompositions using sets with the property of Baire
Author(s):
Randall
Dougherty;
Matthew
Foreman
Journal:
J. Amer. Math. Soc.
7
(1994),
75-124.
MSC:
Primary 04A15;
Secondary 54G99, 54H99
MathSciNet review:
1227475
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Additional information
References:
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- [1]
- R. Dougherty, Solutions to congruences using sets with the property of Baire, preprint. MR 1864737 (2002i:52007)
- [2]
- K. Kuratowski, Topology, vol. 1, Academic Press, New York, 1966. MR 0217751 (36:840)
- [3]
- W. Magnus, A. Karrass, and D. Solitar, Combinatorial group theory, Interscience, New York, 1966.
- [4]
- Y. Moschovakis, Descriptive set theory, North-Holland, Amsterdam, 1980. MR 561709 (82e:03002)
- [5]
- J. Mycielski, The Banach-Tarski paradox for the hyperbolic plane, Fund. Math. 132 (1989), 143-149. MR 1002628 (90h:51020)
- [6]
- -, Problems on finitely additive invariant measures, General Topology and Modern Analysis (L. McAuley and M. Rao, eds.), Academic Press, New York, 1981, pp. 431-436. MR 619069 (82g:28019)
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- I. Niven, Numbers: rational and irrational, Mathematical Association of America, Washington, D.C., 1961. MR 0130199 (24:A66)
- [8]
- J. Oxtoby, Measure and category, Springer-Verlag, New York, 1971. MR 584443 (81j:28003)
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- S. Wagon, The Banach-Tarski paradox, Cambridge Univ. Press, Cambridge, 1985. MR 803509 (87e:04007)
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- F. Wehrung, handwritten notes, 1989.
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Additional Information:
DOI:
10.1090/S0894-0347-1994-1227475-8
PII:
S0894-0347-1994-1227475-8
Copyright of article:
Copyright
1994,
American Mathematical Society
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