Ramsey cardinal

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf large cardinal
gptkbp:characterizedBy partition property
gptkbp:compatibleWith gptkb:Mahlo_cardinal
gptkb:Woodin_cardinal
measurable cardinal
strong cardinal
supercompact cardinal
weakly inaccessible cardinal
gptkbp:hasProperty every coloring of finite subsets has a homogeneous set of cardinality κ
gptkbp:hasUltrafilter weakly amenable ultrafilter
https://www.w3.org/2000/01/rdf-schema#label Ramsey cardinal
gptkbp:introducedIn 1970s
gptkbp:isA cardinal number
gptkbp:isInaccessible true
gptkbp:isRegular true
gptkbp:isStrongLimit true
gptkbp:isUncountable true
gptkbp:isWeakerThan measurable cardinal
weakly compact cardinal
gptkbp:namedAfter gptkb:Frank_P._Ramsey
gptkbp:studiedIn gptkb:set_theory
gptkbp:bfsParent gptkb:Ramsey_theory
gptkbp:bfsLayer 5