Rowbottom cardinal
uncountable cardinal number 𝜅 such that, for every function 𝑓 from the set of finite subsets of 𝜅 to ω₁, there is a set of order type 𝜅 that is quasi-homogeneous for 𝑓
Ramsey cardinal
cardinal 𝜅 such that, for any function 𝑓 from the set of finite subsets of 𝜅 to {0, 1}, there is a cardinality‐𝜅 set 𝐴 that is homogeneous for 𝑓