strongly compact cardinal axiom
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
|
| gptkbp:category |
gptkb:large_cardinal_axiom
|
| gptkbp:consistencyStrength |
greater than measurable cardinal
less than supercompact cardinal |
| 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 axiom
|
| gptkbp:implies |
gptkb:measurable_cardinal_axiom
gptkb:weakly_compact_cardinal_axiom |
| gptkbp:introduced |
gptkb:Ronald_Jensen
|
| gptkbp:introducedIn |
1972
|
| gptkbp:relatedTo |
large cardinal
|
| gptkbp:symbol |
κ is strongly compact
|
| gptkbp:usedIn |
model theory
infinitary logic |
| gptkbp:bfsParent |
gptkb:large_cardinal_axioms
|
| gptkbp:bfsLayer |
6
|