Remote Access Transactions of the American Mathematical Society
Green Open Access

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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 02K35

Retrieve articles in all journals with MSC: 02K35


Additional Information

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