Form equivalence class Howard-Rubin Number: 1

Statement:

Hajnal's Free Set Principle:  For every set mapping \(f: X\rightarrow [X]^{<\lambda}\) where \(\lambda\) is a well orderable cardinal and \(\lambda< |X|\) there is a free set of cardinality \(|X|\). ((\([X]^{<\lambda}\) is the set of subsets of \(X\) of cardinality \(<\lambda\)).

Howard-Rubin number: 1 L

Citations (articles): Brunner [1989] Set mappings on Dedekind sets

Connections (notes): Note [22] Definitions for forms [1 L], [1 M], [1 N], [10 C] and [132 A]

References (books):

Back