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Transactions of the American Mathematical Society
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 (43 #3080)
  • [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 (45 #55)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1974-0332481-5
PII: S 0002-9947(1974)0332481-5
Keywords: Mahlo, saturated filters, normal filters
Article copyright: © Copyright 1974 American Mathematical Society