Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:large_cardinal
|
| gptkbp:category |
gptkb:set_theory_concept
cardinal number |
| gptkbp:consistencyStrength |
stronger than measurable cardinal
weaker than supercompact cardinal |
| gptkbp:defines |
A cardinal κ is Woodin if for every function f:κ→κ there is a cardinal λ<κ such that f''λ⊆λ and there is an elementary embedding j:V→M with critical point λ and V_{j(f)(λ)}⊆M.
|
| gptkbp:field |
gptkb:set_theory
|
| gptkbp:firstAppearance |
1980s
|
| gptkbp:implies |
measurable cardinal
|
| gptkbp:introduced |
gptkb:W._Hugh_Woodin
|
| gptkbp:namedAfter |
gptkb:W._Hugh_Woodin
|
| gptkbp:property |
strong large cardinal property
|
| gptkbp:relatedTo |
measurable cardinal
strong cardinal supercompact cardinal |
| gptkbp:symbol |
κ is Woodin
|
| gptkbp:usedIn |
gptkb:descriptive_set_theory
inner model theory determinacy |
| gptkbp:bfsParent |
gptkb:Ramsey_cardinal
|
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Woodin cardinal
|