Ramsey cardinal
cardinal π
such that, for any function π from the set of finite subsets of π
to {0, 1}, there is a cardinalityβπ
set π΄ that is homogeneous for π
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Ramsey cardinal
Summary
Key Facts
- Ramsey cardinal's subclass of is recorded as Rowbottom cardinal[1].
- Ramsey cardinal's Freebase ID is recorded as /m/01w6kz[2].
- Ramsey cardinal's defining formula is recorded as \forall f\colon[\kappa]^{<\omega}\to{0,1}\exists A\subset\kappa\colon\left(|A|=\kappa\land\exists t\in{0,1}^\omega\forall s\in[\kappa]^{<\omega}\colon f(s)=t(|s|)\right)<sup id="cite-C3" class="cite-ref" title="Ramsey cardinal β defining formula (P2534): \forall f\colon[\kappa]^{<\omega}\to{0,1}\exists A\subset\kappa\colon\left(|A|=\kappa\land\exists t\in{0,1}^\omega\forall s\in[\kappa]^{<\omega}\colon f">[3].
- Ramsey cardinal's maintained by WikiProject is recorded as WikiProject Mathematics[4].
- Ramsey cardinal's Microsoft Academic ID is recorded as 2780309921[5].
- Ramsey cardinal's in defining formula is recorded as \kappa[6].