On the non-extendibility of strongness and supercompactness through strong compactness

• Autorzy: Arthur W. Apter
• Języki publikacji: EN

Abstrakty

EN

If κ is either supercompact or strong and δ < κ is α strong or α supercompact for every α < κ, then it is known δ must be (fully) strong or supercompact. We show this is not necessarily the case if κ is strongly compact.

Kategorie tematyczne

• 03E55: Large cardinals
• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2002
• Tom: 174
• Numer: 1
• Strony: 87-96

Daty

wydano

2002

Twórcy

autor

Arthur W. Apter

• Department of Mathematics, Baruch College of CUNY, New York, NY 10010, U.S.A.

Identyfikatory

DOI

10.4064/fm174-1-5