Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Some strengthenings of the Ulam nonmeasurability condition
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by S. Mrówka
Proc. Amer. Math. Soc. 25 (1970), 704-711
DOI: https://doi.org/10.1090/S0002-9939-1970-0258638-1
References
    S. Banach, Über additive Massfunktionen in abstraken Mengen, Fund. Math. 15 (1929), 97-101.
  • R. Engelking and S. Mrówka, On $E$-compact spaces, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys. 6 (1958), 429–436. MR 0097042
  • H. J. Keisler and A. Tarski, From accessible to inaccessible cardinals. Results holding for all accessible cardinal numbers and the problem of their extension to inaccessible ones, Fund. Math. 53 (1963/64), 225–308. MR 166107, DOI 10.4064/fm-53-3-225-308
  • S. Mrówka, On $E$-compact spaces. II, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 14 (1966), 597–605 (English, with Russian summary). MR 206896
  • S. Mrówka, Further results on $E$-compact spaces. I, Acta Math. 120 (1968), 161–185. MR 226576, DOI 10.1007/BF02394609
  • —, Some strengthenings of the Ulam non-measurability condition, Notices Amer. Math. Soc. 14 (1967), 247. Abstract #643-20.
  • D. Monk and D. Scott, Additions to some results of Erdős and Tarski, Fund. Math. 53 (1963/64), 335–343. MR 166108, DOI 10.4064/fm-53-3-335-343
  • Alfred Tarski, Some problems and results relevant to the foundations of set theory, Logic, Methodology and Philosophy of Science (Proc. 1960 Internat. Congr.), Stanford Univ. Press, Stanford, Calif., 1962, pp. 125–135. MR 0151397
  • S. Ulam, Zur Masstheorie in der allgemeinen Mengenlehre, Fund. Math. 16 (1930), 140-150.
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Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 25 (1970), 704-711
  • MSC: Primary 04.30; Secondary 54.00
  • DOI: https://doi.org/10.1090/S0002-9939-1970-0258638-1
  • MathSciNet review: 0258638