Large Cardinals
Several large cardinal properties can be defined using this notation. In particular:
- Weakly compact cardinals κ are those that satisfy κ→(κ)2
- α-Erdős cardinals κ are the smallest that satisfy κ→(α)<ω
- Ramsey cardinals κ are those that satisfy κ→(κ)<ω
Read more about this topic: Infinitary Combinatorics
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