Tarski’s extension theorem for group-valued charges
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- by Vincenzo Aversa and K. P. S. Bhaskara Rao PDF
- Proc. Amer. Math. Soc. 90 (1984), 79-82 Request permission
Abstract:
A result of Tarski on extensions of real-valued charges is extended to group-valued charges for certain groups.References
- K. P. S. Bhaskara Rao and M. Bhaskara Rao, Theory of charges, Pure and Applied Mathematics, vol. 109, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York, 1983. A study of finitely additive measures; With a foreword by D. M. Stone. MR 751777
- László Fuchs, Infinite abelian groups. Vol. I, Pure and Applied Mathematics, Vol. 36, Academic Press, New York-London, 1970. MR 0255673
- Alfred Horn and Alfred Tarski, Measures in Boolean algebras, Trans. Amer. Math. Soc. 64 (1948), 467–497. MR 28922, DOI 10.1090/S0002-9947-1948-0028922-8
- Z. Lipecki, Extensions of additive set functions with values in a topological group, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 22 (1974), 19–27 (English, with Russian summary). MR 349947
- Maurice Sion, Outer measures with values in a topological group, Proc. London Math. Soc. (3) 19 (1969), 89–106. MR 239039, DOI 10.1112/plms/s3-19.1.89
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 90 (1984), 79-82
- MSC: Primary 28B10
- DOI: https://doi.org/10.1090/S0002-9939-1984-0722419-2
- MathSciNet review: 722419