Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
large cardinal property
|
| gptkbp:category |
large cardinal
|
| gptkbp:consistencyStrength |
very high
|
| gptkbp:definedIn |
Kunen (1971)
|
| gptkbp:defines |
A cardinal κ is huge if there is an elementary embedding j: V → M with critical point κ and M^j(κ) ⊆ M.
|
| gptkbp:field |
gptkb:set_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
huge cardinal
|
| gptkbp:implies |
strong cardinal
supercompact cardinal |
| gptkbp:isWeakerThan |
strong cardinal
supercompact cardinal rank-into-rank cardinal superhuge cardinal |
| gptkbp:relatedTo |
critical point
elementary embedding M (transitive class) V (universe of sets) |
| gptkbp:studiedIn |
gptkb:set_theory
|
| gptkbp:symbol |
κ is huge
|
| gptkbp:bfsParent |
gptkb:Large_cardinal_hypotheses
|
| gptkbp:bfsLayer |
6
|