Extensions with the approximation and cover properties have no new large cardinals

• Autorzy: Joel David Hamkins
• Języki publikacji: EN

Abstrakty

EN

If an extension V ⊆ V̅ satisfies the δ approximation and cover properties for classes and V is a class in V̅, then every suitably closed embedding j: V̅ → N̅ in V̅ with critical point above δ restricts to an embedding j ↾ V amenable to the ground model V. In such extensions, therefore, there are no new large cardinals above δ. This result extends work in [Ham01].

Kategorie tematyczne

• 03E55: Large cardinals
• 03E40: Other aspects of forcing and Boolean-valued models

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2003
• Tom: 180
• Numer: 3
• Strony: 257-277

Daty

wydano

2003

Twórcy

autor

Joel David Hamkins

• The Graduate Center of The City University of New York, Mathematics Program, 365 Fifth Avenue New York, NY 10016, U.S.A.

Identyfikatory

DOI

10.4064/fm180-3-4