Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
large cardinal
|
| gptkbp:consistencyStrength |
between measurable and supercompact cardinals
|
| gptkbp:defines |
A cardinal κ is strongly compact if every κ-complete filter can be extended to a κ-complete ultrafilter.
|
| gptkbp:field |
gptkb:set_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
strongly compact cardinal
|
| gptkbp:implies |
measurable cardinal
weakly compact cardinal |
| gptkbp:introduced |
gptkb:Ronald_Jensen
|
| gptkbp:isInaccessible |
true
|
| gptkbp:isRegular |
true
|
| gptkbp:isUncountable |
true
|
| gptkbp:isWeakerThan |
measurable cardinal
supercompact cardinal |
| gptkbp:limitation |
smaller strongly compact cardinals (if they exist)
|
| gptkbp:usedIn |
gptkb:combinatorial_set_theory
model theory infinitary logic |
| gptkbp:bfsParent |
gptkb:Zermelo–Fraenkel_set_theory_with_large_cardinal_axioms
|
| gptkbp:bfsLayer |
8
|