Cardinal algebras and measures invariant under equivalence relations.
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- by Rolando Chuaqui
- Trans. Amer. Math. Soc. 142 (1969), 61-79
- DOI: https://doi.org/10.1090/S0002-9947-1969-0245743-5
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References
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- Gustave Choquet, Préliminaires à une nouvelle définition de la mesure, C. R. Acad. Sci. Paris 215 (1942), 52–54 (French). MR 9617 R. Chuaqui, A definition of probability based on equal likelihood, Ph.D. thesis, Univ. of California, Berkeley, 1965.
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- Dorothy Maharam, An algebraic characterization of measure algebras, Ann. of Math. (2) 48 (1947), 154–167. MR 18718, DOI 10.2307/1969222
- Dorothy Maharam, The representation of abstract measure functions, Trans. Amer. Math. Soc. 65 (1949), 279–330. MR 28923, DOI 10.1090/S0002-9947-1949-0028923-0 F. J. Murray and J. von Neumann, On rings of operators, Ann. of Math. 33 (1932), 587-642.
- Alfred Tarski, Cardinal Algebras. With an Appendix: Cardinal Products of Isomorphism Types, by Bjarni Jónsson and Alfred Tarski, Oxford University Press, New York, N. Y., 1949. MR 0029954
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 142 (1969), 61-79
- MSC: Primary 28.10
- DOI: https://doi.org/10.1090/S0002-9947-1969-0245743-5
- MathSciNet review: 0245743