ArticleOriginal scientific text

Title

A polarized partition relation and failure of GCH at singular strong limit

Authors 1, 2

Affiliations

  1. epartment of Mathematics, Rutgers University, New Brunswick, New Jersey 08903, U.S.A.
  2. Institute of Mathematics, The Hebrew University, 91 904 Jerusalem, Israel

Abstract

The main result is that for λ strong limit singular failing the continuum hypothesis (i.e. 2λ>λ+), a polarized partition theorem holds.

Bibliography

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  2. [BH] J. Baumgartner and A. Hajnal, Polarized partition relations, preprint, 1995.
  3. [J] T. Jech, Set Theory, Academic Press, New York, 1978.
  4. [Sh:g] S. Shelah, Cardinal Arithmetic, Oxford Logic Guides 29, Oxford Univ. Press, 1994.
  5. [Sh 430] S. Shelah, Further cardinal arithmetic, Israel J. Math. 95 (1996), 61-114.
  6. [Sh 420] S. Shelah, Advances in cardinal arithmetic, in: Finite and Infinite Combinatorics in Sets and Logic, N. W. Sauer et al. (eds.), Kluwer Acad. Publ., 1993, 355-383.
  7. [Sh 108] S. Shelah, On successors of singular cardinals, in: Logic Colloquium '78 (Mons, 1978), Stud. Logic Found. Math. 97, North-Holland, Amsterdam, 1979, 357-380.
Pages:
153-160
Main language of publication
English
Received
1995-11-04
Accepted
1996-10-18
Published
1998
Exact and natural sciences