Huge cardinal axiom

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:consistencyStrength Very high
gptkbp:defines A huge cardinal is a cardinal κ such that there exists an elementary embedding j: V → M with critical point κ and M⊇V_{j(κ)}.
gptkbp:field gptkb:Set_theory
https://www.w3.org/2000/01/rdf-schema#label Huge cardinal axiom
gptkbp:implies Measurable cardinal
gptkbp:introduced gptkb:Ronald_Jensen
gptkbp:introducedIn 1972
gptkbp:isWeakerThan Supercompact cardinal
gptkbp:relatedTo Large cardinal
gptkbp:usedIn gptkb:Axiomatic_set_theory
gptkbp:bfsParent gptkb:Large_cardinal_axioms
gptkbp:bfsLayer 8