Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
large cardinal
|
| gptkbp:consistencyStrength |
between weakly compact and measurable cardinals
|
| gptkbp:defines |
A cardinal κ is called an Erdős cardinal if for every function f:[κ]^{<ω}→2 there is a set H of cardinality κ such that f is constant on [H]^{<ω}.
|
| gptkbp:field |
gptkb:set_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Erdős cardinal
|
| gptkbp:introducedIn |
20th century
|
| gptkbp:isA |
cardinal number
|
| gptkbp:namedAfter |
gptkb:Paul_Erdős
|
| gptkbp:notation |
κ(α) for some ordinal α
|
| gptkbp:property |
partition property
|
| gptkbp:relatedTo |
gptkb:Ramsey_cardinal
measurable cardinal |
| gptkbp:usedIn |
gptkb:combinatorial_set_theory
|
| gptkbp:bfsParent |
gptkb:Jónsson_cardinal
|
| gptkbp:bfsLayer |
6
|