Partition properties of subsets of Pκλ

• Autorzy: Masahiro Shioya
• Języki publikacji: EN

Abstrakty

EN

Let κ > ω be a regular cardinal and λ > κ a cardinal. The following partition property is shown to be consistent relative to a supercompact cardinal: For any $f : ∪_{n < ω}[X]^{n}_⊂ → γ$ with $X⊂P_κλ$ unbounded and 1 < γ < κ there is an unbounded Y ∪ X with $|f''[Y]^n_⊂| = 1$ for any n < ω.

Kategorie tematyczne

• 03E55: Large cardinals
• 03E05: Other combinatorial set theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1999
• Tom: 161
• Numer: 3
• Strony: 325-329

Daty

wydano

1999

otrzymano

1998-09-21

poprawiono

1999-05-10

Twórcy

autor

Masahiro Shioya

• Institute of Mathematics, University of Tsukuba, Tsukuba, 305-8571 Japan

Bibliografia

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