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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Some combinatorial principles

Author: Jussi Ketonen
Journal: Trans. Amer. Math. Soc. 188 (1974), 387-394
MSC: Primary 02K35
MathSciNet review: 0332481
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Abstract: We extend some large cardinal axioms of Jensen to weakly inaccessible cardinals. Related problems regarding the saturatedness of certain filters are also studied.

References [Enhancements On Off] (What's this?)

  • [1] R. Jensen, Some combinatorial properties of L and V (to appear).
  • [2] Kenneth Kunen, Some applications of iterated ultrapowers in set theory, Ann. Math. Logic 1 (1970), 179–227. MR 0277346
  • [3] Robert M. Solovay, Real-valued measurable cardinals, Axiomatic set theory (Proc. Sympos. Pure Math., Vol. XIII, Part I, Univ. California, Los Angeles, Calif., 1967) Amer. Math. Soc., Providence, R.I., 1971, pp. 397–428. MR 0290961

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Keywords: Mahlo, saturated filters, normal filters
Article copyright: © Copyright 1974 American Mathematical Society