Distinguishing two partition properties of ω1

• Autorzy: Péter Komjáth
• Języki publikacji: EN

Abstrakty

EN

It is consistent that $ω_1→(ω_1,(ω:2))^2$ but $ω_1↛(ω_1,ω+2)^2$.

Kategorie tematyczne

• 03E05: Other combinatorial set theory
• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1998
• Tom: 155
• Numer: 1
• Strony: 95-99

Daty

wydano

1998

otrzymano

1997-05-21

poprawiono

1997-07-08

Twórcy

autor

Péter Komjáth

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

Bibliografia

• [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.