Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl

PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2002 | 171 | 1 | 77-92

Tytuł artykułu

On level by level equivalence and inequivalence between strong compactness and supercompactness

Autorzy

Treść / Zawartość

Języki publikacji

EN

Abstrakty

EN
We prove two theorems, one concerning level by level inequivalence between strong compactness and supercompactness, and one concerning level by level equivalence between strong compactness and supercompactness. We first show that in a universe containing a supercompact cardinal but of restricted size, it is possible to control precisely the difference between the degree of strong compactness and supercompactness that any measurable cardinal exhibits. We then show that in an unrestricted size universe containing many supercompact cardinals, it is possible to have significant failures of GCH along with level by level equivalence between strong compactness and supercompactness, except possibly at inaccessible levels.

Rocznik

Tom

171

Numer

1

Strony

77-92

Daty

wydano
2002

Twórcy

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

Identyfikatory

Identyfikator YADDA

bwmeta1.element.bwnjournal-article-doi-10_4064-fm171-1-5