ArticleOriginal scientific text

Title

Distinguishing two partition properties of ω1

Authors 1

Affiliations

  1. Department of Computer Science, Eötvös University, Múzeum krt. 6-8, Budapest 1088, Hungary

Abstract

It is consistent that ω1(ω1,(ω:2))2 but ω1(ω1,ω+2)2.

Bibliography

  1. J. E. Baumgartner and A. Hajnal, A proof (involving Martin's axiom) of a partition relation, Fund. Math. 78 (1973), 193-203.
  2. W. W. Comfort and S. Negrepontis, Chain Conditions in Topology, Cambridge Univ. Press, 1982.
  3. B. Dushnik and E. W. Miller, Partially ordered sets, Amer. J. Math. 63 (1941), 600-610.
  4. P. Erdős and R. Rado, A partition calculus in set theory, Bull. Amer. Math. Soc. 62 (1956), 427-489.
  5. A. Hajnal, Some results and problems on set theory, Acta Math. Acad. Sci. Hungar. 11 (1960), 277-298.
  6. S. Todorčević, Forcing positive partition relations, Trans. Amer. Math. Soc. 280 (1983), 703-720.
Pages:
95-99
Main language of publication
English
Received
1997-05-21
Accepted
1997-07-08
Published
1998
Exact and natural sciences