Matches in SemOpenAlex for { <https://semopenalex.org/work/W2951972304> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W2951972304 abstract "We show relative to strong hypotheses that patterns of compact cardinals in the universe, where a compact cardinal is one which is either strongly compact or supercompact, can be virtually arbitrary. Specifically, we prove if V is a model of ``ZFC + Omega is the least inaccessible limit of measurable limits of supercompact cardinals + f :Omega-->2 is a function'', then there is a partial ordering P in V so that for Vbar = V^P, Vbar_Omega models ``ZFC + There is a proper class of compact cardinals + If f(alpha) = 0, then the alpha-th compact cardinal isn't supercompact + If f(alpha) = 1, then the alpha-th compact cardinal is supercompact''. We then prove a generalized version of this theorem assuming kappa is a supercompact limit of supercompact cardinals and f:kappa-->2 is a function, and we derive as corollaries of the generalized version of the theorem the consistency of the least measurable limit of supercompact cardinals being the same as the least measurable limit of non-supercompact strongly compact cardinals and the consistency of the least supercompact cardinal being a limit of strongly compact cardinals." @default.
- W2951972304 created "2019-06-27" @default.
- W2951972304 creator A5066099291 @default.
- W2951972304 date "1999-03-01" @default.
- W2951972304 modified "2023-09-27" @default.
- W2951972304 title "Patterns of Compact Cardinals" @default.
- W2951972304 cites W1504378551 @default.
- W2951972304 cites W1522767951 @default.
- W2951972304 cites W1564426727 @default.
- W2951972304 cites W1964666812 @default.
- W2951972304 cites W1985752672 @default.
- W2951972304 cites W2006383870 @default.
- W2951972304 cites W2044171754 @default.
- W2951972304 cites W2048739378 @default.
- W2951972304 cites W2064841854 @default.
- W2951972304 cites W2073171092 @default.
- W2951972304 cites W2142584512 @default.
- W2951972304 cites W2218778419 @default.
- W2951972304 cites W2318231933 @default.
- W2951972304 hasPublicationYear "1999" @default.
- W2951972304 type Work @default.
- W2951972304 sameAs 2951972304 @default.
- W2951972304 citedByCount "0" @default.
- W2951972304 crossrefType "posted-content" @default.
- W2951972304 hasAuthorship W2951972304A5066099291 @default.
- W2951972304 hasConcept C114614502 @default.
- W2951972304 hasConcept C118615104 @default.
- W2951972304 hasConcept C121332964 @default.
- W2951972304 hasConcept C134306372 @default.
- W2951972304 hasConcept C151201525 @default.
- W2951972304 hasConcept C18648836 @default.
- W2951972304 hasConcept C202444582 @default.
- W2951972304 hasConcept C2776436953 @default.
- W2951972304 hasConcept C2779557605 @default.
- W2951972304 hasConcept C33923547 @default.
- W2951972304 hasConcept C62520636 @default.
- W2951972304 hasConcept C89507440 @default.
- W2951972304 hasConceptScore W2951972304C114614502 @default.
- W2951972304 hasConceptScore W2951972304C118615104 @default.
- W2951972304 hasConceptScore W2951972304C121332964 @default.
- W2951972304 hasConceptScore W2951972304C134306372 @default.
- W2951972304 hasConceptScore W2951972304C151201525 @default.
- W2951972304 hasConceptScore W2951972304C18648836 @default.
- W2951972304 hasConceptScore W2951972304C202444582 @default.
- W2951972304 hasConceptScore W2951972304C2776436953 @default.
- W2951972304 hasConceptScore W2951972304C2779557605 @default.
- W2951972304 hasConceptScore W2951972304C33923547 @default.
- W2951972304 hasConceptScore W2951972304C62520636 @default.
- W2951972304 hasConceptScore W2951972304C89507440 @default.
- W2951972304 hasLocation W29519723041 @default.
- W2951972304 hasOpenAccess W2951972304 @default.
- W2951972304 hasPrimaryLocation W29519723041 @default.
- W2951972304 hasRelatedWork W1522767951 @default.
- W2951972304 hasRelatedWork W1981234871 @default.
- W2951972304 hasRelatedWork W1986804407 @default.
- W2951972304 hasRelatedWork W2006383870 @default.
- W2951972304 hasRelatedWork W2043207926 @default.
- W2951972304 hasRelatedWork W2044171754 @default.
- W2951972304 hasRelatedWork W2055243331 @default.
- W2951972304 hasRelatedWork W2085381255 @default.
- W2951972304 hasRelatedWork W2092747348 @default.
- W2951972304 hasRelatedWork W2130449509 @default.
- W2951972304 hasRelatedWork W2137250110 @default.
- W2951972304 hasRelatedWork W2137485033 @default.
- W2951972304 hasRelatedWork W2150497747 @default.
- W2951972304 hasRelatedWork W2160377993 @default.
- W2951972304 hasRelatedWork W2329779838 @default.
- W2951972304 hasRelatedWork W2510794366 @default.
- W2951972304 hasRelatedWork W2787179041 @default.
- W2951972304 hasRelatedWork W2949654338 @default.
- W2951972304 hasRelatedWork W2952873619 @default.
- W2951972304 hasRelatedWork W3127924336 @default.
- W2951972304 isParatext "false" @default.
- W2951972304 isRetracted "false" @default.
- W2951972304 magId "2951972304" @default.
- W2951972304 workType "article" @default.