Internally club and approachable for larger structures

• Autorzy: John Krueger
• Języki publikacji: EN

Abstrakty

EN

We generalize the notion of a fat subset of a regular cardinal κ to a fat subset of $P_{κ}(X)$, where κ ⊆ X. Suppose μ < κ, $μ^{<μ} = μ$, and κ is supercompact. Then there is a generic extension in which κ = μ⁺⁺, and for all regular λ ≥ μ⁺⁺, there are stationarily many N in $[H(λ)]^{μ⁺}$ which are internally club but not internally approachable.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2008
• Tom: 201
• Numer: 2
• Strony: 115-129

Daty

wydano

2008

Twórcy

autor

John Krueger

• Department of Mathematics, University of California, Berkeley, CA 94720, U.S.A.

Identyfikatory

DOI

10.4064/fm201-2-2